Local boundedness of general minimizers with nonstandard growth

DOI10.1016/j.na.2012.10.024zbMath1275.49068OpenAlexW2005001128MaRDI QIDQ1937731

Olli Toivanen

Publication date: 4 March 2013

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.2012.10.024

zbMATH Keywords

nonstandard growthvariational integralminimizervariable exponentCaccioppoli inequality

Mathematics Subject Classification ID

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

Related Items

Global \(L^\infty\)-estimates and Hölder continuity of weak solutions to elliptic equations with the general nonstandard growth conditions, Hölder continuity of quasiminimizers with nonstandard growth, 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