Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces
From MaRDI portal
Publication:2678244
DOI10.1007/s00526-022-02393-3zbMath1506.35054arXiv2207.07323OpenAlexW4313644353MaRDI QIDQ2678244
Greta Marino, Giuseppina Barletta, Andrea Cianchi
Publication date: 9 January 2023
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.07323
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Quasilinear elliptic equations (35J62)
Related Items (2)
New embedding results for double phase problems with variable exponents and a priori bounds for corresponding generalized double phase problems ⋮ Existence and regularity results for nonlinear elliptic equations in Orlicz spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hölder regularity of quasiminimizers under generalized growth conditions
- Higher differentiability of minimizers of convex variational integrals
- A general regularity theorem for functionals with \(\varphi \)-growth
- Regularity for elliptic equations with general growth conditions
- Inhomogeneous Hopf-Oleĭnik lemma and regularity of semiconvex supersolutions via new barriers for the Pucci extremal operators
- Boundedness of minimizers
- The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth
- Everywhere regularity of functionals with \(\varphi \)-growth
- Boundary trace inequalities and rearrangements
- \(L^\infty\)-estimates for nonlinear elliptic Neumann boundary value problems
- Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces
- Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
- Sobolev embeddings into BMO, VMO, and \(L_{\infty}\)
- Local boundedness of minimizers of anisotropic functionals
- A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces
- Optimal Orlicz-Sobolev embeddings
- A free boundary problem in Orlicz spaces related to mean curvature
- A limiting free boundary problem for a degenerate operator in Orlicz-Sobolev spaces
- Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition
- Lavrentiev gap for some classes of generalized Orlicz functions
- Lipschitz bounds and nonautonomous integrals
- An eigenvalue problem for the anisotropic \(\Phi \)-Laplacian
- \(L^\infty\)-bounds for general singular elliptic equations with convection term
- Higher-order Sobolev embeddings and isoperimetric inequalities
- Partial regularity for non-autonomous degenerate quasi-convex functionals with general growth
- Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces
- Singular quasilinear elliptic systems in \(\mathbb{R}^N\)
- Riesz potential estimates for a general class of quasilinear equations
- Linear and quasilinear elliptic equations
- Moser iteration applied to elliptic equations with critical growth on the boundary
- Dirichlet problems for fully anisotropic elliptic equations
- Boundedness of Solutions to Anisotropic Variational Problems
- Quasilinear elliptic equations involving critical Sobolev exponents
- Weakly Differentiable Functions
- An eigenvalue problem for generalized Laplacian in Orlicz—Sobolev spaces
- Boundedness of solutions to variational problems under general growth conditions
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
- A sharp embedding theorem for Orlicz-Sobolev spaces
- Lipschitz Bounds and Nonuniform Ellipticity
- Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces
- Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
- Sobolev Spaces
- Orlicz-Sobolev boundary trace embeddings
This page was built for publication: Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces