{"id":3,"date":"2024-05-15T11:46:13","date_gmt":"2024-05-15T09:46:13","guid":{"rendered":"https:\/\/blogs.urz.uni-halle.de\/mathschaeffner\/?page_id=3"},"modified":"2024-05-22T19:41:05","modified_gmt":"2024-05-22T17:41:05","slug":"puplications","status":"publish","type":"page","link":"https:\/\/blogs.urz.uni-halle.de\/mathschaeffner\/puplications\/","title":{"rendered":"Publications"},"content":{"rendered":"<p><b>Preprints<\/b><\/p>\n<ul type=\"circle\">\n<li>Upper bounds for the homogenization problem in nonlinear elasticity: the incompressible case.<br>with Matthias Ruf<br><i>submitted<\/i> (<a href=\"https:\/\/doi.org\/10.48550\/arXiv.2405.12877\">arXiv<\/a>)<\/li>\n<li>On the Lavrentiev gap for convex, vectorial integral functionals.<br>with Lukas Koch and Matthias Ruf<br><i>submitted<\/i> (<a href=\"https:\/\/arxiv.org\/abs\/2305.19934\">arXiv<\/a>)<\/li>\n<li>The time horizon for stochastic homogenization of the one-dimensional wave equation.<br>with Ben Schweizer<br><i>submitted<\/i> (<a href=\"http:\/\/129.217.131.68:8080\/handle\/2003\/42065\">preprint<\/a>)<\/li>\n<li>Mechanical behaviour of heterogeneous nanochains in the Gamma-limit of stochastic particle systems.<br>with Laura Lauerbach, Stefan Neukamm and Anja Schl\u00f6merkemper<br><i>submitted<\/i> (<a href=\"https:\/\/arxiv.org\/abs\/1909.06607\">arXiv<\/a>)<\/li>\n<\/ul>\n<p><b>published\/accepted Articles<\/b><\/p>\n<ol reversed=\"\">\n<li>Lipschitz bounds for nonuniformly elliptic integral functionals in the plane.<br><i>Proc. Amer. Math. Soc.<\/i> in press. (<a href=\"https:\/\/doi.org\/10.48550\/arXiv.2402.06252\">arXiv<\/a>)<\/li>\n<p> (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1090\/proc\/16878\">Journal<\/a>)<\/p>\n<li>Local boundedness of minimizers under unbalanced Orlicz growth conditions.<br>with Andrea Cianchi<br><i>J. Differential Equations<\/i> <b>401<\/b> (2024), 58-92. (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1016\/j.jde.2024.04.016\">Journal<\/a>) (<a href=\"https:\/\/doi.org\/10.48550\/arXiv.2309.16803\">arXiv<\/a>)<\/li>\n<li>Stochastic homogenization and geometric singularities : a study on corners.<br>with Marc Josien and Claudia Raithel<br><i>SIAM J. Math. Anal.<\/i>, <b>56<\/b> (2024), no. 2, 1495-2455. (<a href=\"https:\/\/arxiv.org\/abs\/2201.09938\">arXiv<\/a>) (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1137\/23M1559361\">Journal<\/a>)<\/li>\n<li>Quantitative stochastic homogenization of nonlinearly elastic, random laminates.<br>with Stefan Neukamm and Mario Varga<br><i>Ann. Inst. H. Poincar\u00e9 Anal. Non Lin\u00e9aire<\/i>, in press (<a href=\"https:\/\/doi.org\/10.4171\/AIHPC\/113\">Journal<\/a>) (<a href=\"https:\/\/arxiv.org\/abs\/2106.08585\">arXiv<\/a>)<\/li>\n<li>New homogenization results for convex integral functionals and their Euler-Lagrange equations.<br>with Matthias Ruf<br><i>Calc. Var. Partial Differential Equations<\/i>, <b>63<\/b> 32 (2024) (<a href=\"https:\/\/arxiv.org\/abs\/2303.15337\">arXiv<\/a>) (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1007\/s00526-023-02636-x\">Journal<\/a>)<\/li>\n<li>A radiation box domain truncation scheme for the wave equation.<br>with Ben Schweizer and Yohanes Tjandrawidjaja<br><i>IMA J. Numer. Anal.<\/i> <b>44<\/b> (2024) no. 2, 920-944. (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1093\/imanum\/drad027\">Journal<\/a>)<\/li>\n<li>Local boundedness for p-Laplacian with degenerate coefficients.<br>with Peter Bella<br><i>Math. Eng.<\/i>, <b>5<\/b> (2023), no 5. (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.3934\/mine.2023081\">Journal<\/a>)<\/li>\n<li>Lipschitz bounds for integral functionals with (p,q)-growth conditions.<br>with Peter Bella<br><i>Adv. Calc. Var.<\/i>, <b>17<\/b> no. 2, (2024) 373-390. (<a href=\"https:\/\/arxiv.org\/abs\/2202.12999\">arXiv<\/a>) (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1515\/acv-2022-0016\">Journal<\/a>)<\/li>\n<li>Domain truncation methods for the wave equation in a homogenization limit.<br>with Ben Schweizer and Yohanes Tjandrawidjaja<br><i>Appl. Anal.<\/i> <b>101<\/b> (2022), no. 12, 4149&#8211;4170. (<a href=\"http:\/\/dx.doi.org\/10.17877\/DE290R-22448\">preprint<\/a>) (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1080\/00036811.2022.2054416\">Journal<\/a>)<\/li>\n<li>Non-uniformly parabolic equations and applications to the random conductance model.<br>with Peter Bella<br><i>Probab. Theory Related Fields.<\/i> <b>182<\/b> (2022), no. 1-2, 353&#8211;397. (<a href=\"https:\/\/arxiv.org\/abs\/2009.11535\">arXiv<\/a>) (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1007\/s00440-021-01081-1\">Journal<\/a>)<\/li>\n<li>Higher integrability for variational integrals with non-standard growth.<br><i>Calc. Var. Partial Differential Equations<\/i> <b>60<\/b> 77 (2021) (<a href=\"https:\/\/arxiv.org\/abs\/2005.05115\">arXiv<\/a>) (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1007\/s00526-020-01907-1\">Journal<\/a>)<\/li>\n<li>Growth conditions and regularity, an optimal local boundedness result.<br>together with Jonas Hirsch<br><i>Commun. Contemp. Math.<\/i> <b>23<\/b>, no. 3, 2050029 (2021). (<a href=\"https:\/\/arxiv.org\/abs\/1911.12822\">arXiv<\/a>) (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1142\/S0219199720500297\">Journal<\/a>)<\/li>\n<li>Local boundedness and Harnack inequality for solutions of linear non-uniformly elliptic equations.<br>together with Peter Bella<br><i>Comm. Pure Appl. Math.<\/i> <b>74<\/b> (2021), no. 3, 453&#8211;477. (<a href=\"https:\/\/arxiv.org\/abs\/1901.07958\">arXiv<\/a>) ( <a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1002\/cpa.21876\">Journal<\/a>)<\/li>\n<li>Derivation of a homogenized bending&#8211;torsion theory for rods with micro-heterogeneous prestrain.<br>together with Robert Bauer and Stefan Neukamm<br><i>J. Elast.<\/i> <b>141<\/b>, 109-145 2020. (<a href=\"https:\/\/arxiv.org\/abs\/1903.08290\">arXiv<\/a>) (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1007\/s10659-020-09777-6\">Journal<\/a>)<\/li>\n<li>On the regularity of minimizers for scalar integral functionals with (p,q)-growth.<br>together with Peter Bella<br><i>Analysis and PDE<\/i> <b>13<\/b> 2020, no. 7, 2241-2257. (<a href=\"https:\/\/arxiv.org\/abs\/1904.12279\">arXiv<\/a>) (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.2140\/apde.2020.13.2241\">Journal<\/a>)<\/li>\n<li>Quenched invariance principle for random walks among random degenerate conductances.<b><\/b><br>together with Peter Bella<br><i>Ann. Probab.<\/i> <b>48<\/b> (2020), no. 1, 296-316. (<a href=\"https:\/\/arxiv.org\/abs\/1902.05793\">arXiv<\/a>) (<a class=\"publinkextern\" href=\"https:\/\/projecteuclid.org\/euclid.aop\/1585123329\">Journal<\/a>)<\/li>\n<li>Lipschitz estimates and existence of<br>correctors for nonlinearly elastic, periodic composites subject to small<br>strains.<br>together with Stefan Neukamm<br><i>Calc. Var. Partial Differential Equations<\/i> <b>58<\/b> (2019), no. 2, Art. 46, 51 pp. (<a href=\"https:\/\/arxiv.org\/abs\/1807.09109\">arXiv<\/a>) (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1007\/s00526-019-1495-2\">Journal<\/a>)<\/li>\n<li>Quantitative homogenization in nonlinear elasticity for small loads.<br>together with Stefan Neukamm<br><i>Arch. Ration. Mech. Anal.<\/i> <b>230<\/b> (2018), no. 1, 343-396. (<a href=\"https:\/\/arxiv.org\/abs\/1703.07947\">arXiv<\/a>) (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1007\/s00205-018-1247-z\">Journal<\/a>)<\/li>\n<li>On continuum limits of herogeneous discrete systems modelling cracks in composite materials.<br>together with Laura Lauerbach and Anja Schl\u00f6merkemper<br><i>GAMM-Mitt.<\/i> <b>40<\/b> (2018), no. 3, 178-200. (<a class=\"publinkextern\" href=\"https:\/\/doi.org\/10.1002\/gamm.201730003\">Journal<\/a>)<\/li>\n<li>On Lennard-Jones systems with finite range interactions and their asymptotic analysis.<br>together with Anja Schl\u00f6merkemper<br><i>Netw. Heterog. Media<\/i> <b>13<\/b> (2018), no. 1, 95-118. (<a href=\"https:\/\/arxiv.org\/abs\/1501.06423\">arXiv<\/a>) (<a class=\"publinkextern\" href=\"http:\/\/dx.doi.org\/10.3934\/nhm.2018005\">Journal<\/a>)<\/li>\n<li>Stochastic homogenization of nonconvex discrete energies with degenerate growth.<br>together with Stefan Neukamm and Anja Schl\u00f6merkemper<br><i>SIAM J. Math. Anal.<\/i> <b>49<\/b> (2017), no. 3, 1761-1809. (<a href=\"http:\/\/arxiv.org\/abs\/1606.06533\">arXiv<\/a>) ( <a class=\"publinkextern\" href=\"http:\/\/dx.doi.org\/10.1137\/16M1097705\">Journal<\/a>)<\/li>\n<li>Plates with Incompatible Prestrain.<br>together with Kaushik Bhattacharya and Marta Lewicka<br><i>Arch. Ration. Mech. Anal.<\/i> <b>221<\/b> (2016), no. 1, 143-181. (<a href=\"http:\/\/arxiv.org\/abs\/1401.1609\">arXiv<\/a>) <a class=\"publinkextern\" href=\"http:\/\/dx.doi.org\/10.1007\/s00205-015-0958-7\"> Journal<\/a>)<\/li>\n<li>On a Gamma-convergence analysis of a quasicontinuum method.<br>together with Anja Schl\u00f6merkemper<br><i>Multiscale Model. Simul.<\/i> <b>13<\/b> (2015), no. 1, 132-172. (<a href=\"http:\/\/arxiv.org\/abs\/1405.6122\">arXiv<\/a>) (<a class=\"publinkextern\" href=\"http:\/\/dx.doi.org\/10.1137\/140971439\">Journal<\/a>)<\/li>\n<\/ol>\n\n\n<pre class=\"wp-block-code\"><code><\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Preprints Upper bounds for the homogenization problem in nonlinear elasticity: the incompressible case.with Matthias Rufsubmitted (arXiv) On the Lavrentiev gap for convex, vectorial integral functionals.with Lukas Koch and Matthias Rufsubmitted (arXiv) The time horizon for stochastic homogenization of the one-dimensional <a class=\"more-link\" href=\"https:\/\/blogs.urz.uni-halle.de\/mathschaeffner\/puplications\/\">Continue reading <span class=\"screen-reader-text\">  Publications<\/span><span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":5707,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/blogs.urz.uni-halle.de\/mathschaeffner\/wp-json\/wp\/v2\/pages\/3"}],"collection":[{"href":"https:\/\/blogs.urz.uni-halle.de\/mathschaeffner\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.urz.uni-halle.de\/mathschaeffner\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.urz.uni-halle.de\/mathschaeffner\/wp-json\/wp\/v2\/users\/5707"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.urz.uni-halle.de\/mathschaeffner\/wp-json\/wp\/v2\/comments?post=3"}],"version-history":[{"count":7,"href":"https:\/\/blogs.urz.uni-halle.de\/mathschaeffner\/wp-json\/wp\/v2\/pages\/3\/revisions"}],"predecessor-version":[{"id":12,"href":"https:\/\/blogs.urz.uni-halle.de\/mathschaeffner\/wp-json\/wp\/v2\/pages\/3\/revisions\/12"}],"wp:attachment":[{"href":"https:\/\/blogs.urz.uni-halle.de\/mathschaeffner\/wp-json\/wp\/v2\/media?parent=3"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}