Moser iteration applied to elliptic equations with critical growth on the boundary

DOI10.1016/j.na.2018.10.002zbMath1426.35122arXiv1805.01154OpenAlexW2962794359WikidataQ128994332 ScholiaQ128994332MaRDI QIDQ2633308

Greta Marino, Patrick Winkert

Publication date: 8 May 2019

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/1805.01154

zbMATH Keywords

a priori boundsboundedness of solutionsMoser iterationcritical growth on the boundaryelliptic operators of divergence type

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60)

Related Items (19)

\(L^\infty\)-bounds for general singular elliptic equations with convection term ⋮ Multiplicity results for double phase problems involving a new type of critical growth ⋮ Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces ⋮ Unnamed Item ⋮ New embedding results for double phase problems with variable exponents and a priori bounds for corresponding generalized double phase problems ⋮ Existence of constant sign and nodal solutions for a class of (p,q)-Laplacian-Kirchhoff problems ⋮ Rigidity theorems for best Sobolev inequalities ⋮ Nonhomogeneous degenerate quasilinear problems with convection ⋮ Sign-changing solutions for parametric Neumann problems with broken symmetry and arbitrary growth ⋮ On the L^∞‐regularity for fractional Orlicz problems via Moser's iteration ⋮ Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold ⋮ \((p, q)\)-equations with singular and concave convex nonlinearities ⋮ Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence ⋮ Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition ⋮ On a quasilinear elliptic problem with convection term and nonlinear boundary condition ⋮ Constant sign solutions for double phase problems with superlinear nonlinearity ⋮ Anisotropic singular double Phase Dirichlet problems ⋮ The boundedness and Hölder continuity of weak solutions to elliptic equations involving variable exponents and critical growth ⋮ W1,p versus C1: The nonsmooth case involving critical growth

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