Hölder continuity of quasiminimizers with nonstandard growth

DOI10.1016/j.na.2015.05.023zbMath1322.49059arXiv1503.02599OpenAlexW2963924869MaRDI QIDQ495244

Olli Toivanen, Tomasz Adamowicz

Publication date: 9 September 2015

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

Full work available at URL: https://arxiv.org/abs/1503.02599

zbMATH Keywords

nonstandard growthHölder continuity\(p\)-Laplacianvariational integralvariable exponentsDe Giorgi estimatequasiminimizers

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (7)

A class of De Giorgi type and local boundedness ⋮ Nonlinear nonlocal Douglas identity ⋮ Hölder continuity for nonlinear elliptic problem in Musielak-Orlicz-Sobolev space ⋮ ON SOLVABILITY OF A CLASS OF NONLINEAR ELLIPTIC TYPE EQUATION WITH VARIABLE EXPONENT ⋮ Weak Harnack estimates for quasiminimizers with non-standard growth and general structure ⋮ Global boundedness and Hölder continuity of quasiminimizers with the general nonstandard growth conditions ⋮ The Dirichlet problem for nonlinear elliptic equations with variable exponent

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