Regularity of minimizers under limit growth conditions

DOI10.1016/j.na.2016.06.002zbMath1358.49032OpenAlexW2470005530MaRDI QIDQ515933

Elvira Mascolo, Giovanni Cupini, Paolo Marcellini

Publication date: 17 March 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.06.002

zbMATH Keywords

local boundednessnon-coercive functionalanisotropic growth condition

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Regularity of solutions in optimal control (49N60)

Related Items (34)

Pointwise bounds for minimizers of some anisotropic functionals ⋮ Nonuniformly elliptic energy integrals with \(p, q\)-growth ⋮ Local Lipschitz continuity for energy integrals with slow growth ⋮ Unnamed Item ⋮ Regularity results for vectorial minimizers of a class of degenerate convex integrals ⋮ Regularity under general and \(p,q\)-growth conditions ⋮ Entropy solutions of anisotropic elliptic nonlinear obstacle problem with measure data ⋮ On the local behavior of local weak solutions to some singular anisotropic elliptic equations ⋮ Unnamed Item ⋮ Remarks on local boundedness and local holder continuity of local weak solutions to anisotropic \(p\)-Laplacian type equations ⋮ Higher integrability for anisotropic parabolic systems of \(p\)-Laplace type ⋮ Regularity of weak solutions for a class of elliptic PDEs in Orlicz-Sobolev spaces ⋮ Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space ⋮ Local boundedness of weak solutions to elliptic equations with \(p, q\)-growth ⋮ Lipschitz regularity for degenerate elliptic integrals with \(p, q\)-growth ⋮ Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities ⋮ Regularity results for generalized double phase functionals ⋮ Regularity results for a priori bounded minimizers of non-autonomous functionals with discontinuous coefficients ⋮ Unnamed Item ⋮ Hölder continuity for nonlinear elliptic problem in Musielak-Orlicz-Sobolev space ⋮ Regularity for general functionals with double phase ⋮ Lipschitz regularity for orthotropic functionals with nonstandard growth conditions ⋮ Regularity for anisotropic elliptic equations with degenerate coercivity ⋮ Growth conditions and regularity for weak solutions to nonlinear elliptic pdes ⋮ Uniform ellipticity and \((p,q)\) growth ⋮ Regularity for minimizers of double phase functionals with mild transition and regular coefficients ⋮ Regularity of quasi-minimizers for non-uniformly elliptic integrals ⋮ Developments and perspectives in nonlinear potential theory ⋮ Butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems ⋮ Local boundedness of quasi-minimizers of fully anisotropic scalar variational problems ⋮ Unnamed Item ⋮ Local regularity for an anisotropic elliptic equation ⋮ A local boundedness result for a class of obstacle problems with non-standard growth conditions ⋮ Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence

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