A priori bounds for weak solutions to elliptic equations with nonstandard growth
From MaRDI portal
Publication:449528
DOI10.3934/DCDSS.2012.5.865zbMath1261.35061arXiv1102.1646OpenAlexW2161630361MaRDI QIDQ449528
Publication date: 30 August 2012
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.1646
a priori estimatesnonstandard growthelliptic equationspartition of unityvariable exponent spacesDe Giorgi iteration
Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30)
Related Items (21)
Existence of positive solutions to semilinear elliptic problems with nonlinear boundary condition ⋮ Moser iteration applied to elliptic equations with critical growth on the boundary ⋮ Existence and multiplicity of solutions to concave-convex-type double-phase problems with variable exponent ⋮ Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth ⋮ A multiplicity theorem for anisotropic Robin equations ⋮ Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side ⋮ A-priori bounds and existence for solutions of weighted elliptic equations with a convection term ⋮ \(L^\infty\)-bounds for general singular elliptic equations with convection term ⋮ Global multiplicity for parametric anisotropic Neumann \((p,q)\)-equations ⋮ New embedding results for double phase problems with variable exponents and a priori bounds for corresponding generalized double phase problems ⋮ Infinitely many solutions for a generalized p(·)‐Laplace equation involving Leray–Lions type operators ⋮ A-priori bound and Hölder continuity of solutions to degenerate elliptic equations with variable exponents ⋮ On optimal \(C^{1 , \alpha}\) estimates for \(p ( x )\)-Laplace type equations ⋮ Existence and some properties of solutions for degenerate elliptic equations with exponent variable ⋮ On the boundedness of solutions to elliptic variational inequalities ⋮ Generalized anisotropic Neumann problems of Ambrosetti-Prodi type with nonstandard growth conditions ⋮ Anisotropic Robin problems with logistic reaction ⋮ Nonlinear Robin problems with a reaction of arbitrary growth ⋮ The boundedness and Hölder continuity of weak solutions to elliptic equations involving variable exponents and critical growth ⋮ A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional \(p(\cdot)\)-Laplacian ⋮ Parametric nonlinear nonhomogeneous Neumann equations involving a nonhomogeneous differential operator
This page was built for publication: A priori bounds for weak solutions to elliptic equations with nonstandard growth