Existence and regularity results for a class of equations with logarithmic growth

DOI10.1016/j.na.2015.05.025zbMath1330.35172OpenAlexW629002154MaRDI QIDQ495235

Antonia Passarelli Di Napoli

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://doi.org/10.1016/j.na.2015.05.025

zbMATH Keywords

regularityexistencelogarithmic growth

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods for elliptic systems (35J50) Quasilinear elliptic equations (35J62) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (8)

A nonlinear Dirichlet problem involving terms with logarithmic growth ⋮ Regularity results for non-autonomous functionals with \(L\log {L}\)-growth and Orlicz Sobolev coefficients ⋮ Quasilinear elliptic problems on non-reflexive Orlicz-Sobolev spaces ⋮ Partial regularity results for non-autonomous functionals with \(\varPhi \)-growth conditions ⋮ Lipschitz regularity results for a class of obstacle problems with nearly linear growth ⋮ Nonlinear elliptic equations without sign condition and \(L^{1}\)-data in Musielak-Orlicz-Sobolev spaces ⋮ Higher differentiability for a class of obstacle problems with nearly linear growth conditions ⋮ Partial and full boundary regularity for non-autonomous functionals with \(\phi\)-growth conditions

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