Multiplicity and regularity of solutions for infinitely degenerate elliptic equations with a free perturbation

DOI10.1016/J.MATPUR.2014.09.004zbMath1408.35036OpenAlexW2049170808MaRDI QIDQ1756293

Hua Chen, Shuying Tian, Peng Luo

Publication date: 14 January 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2014.09.004

zbMATH Keywords

Dirichlet problemregularity of solutionsinfinitely degenerate elliptic equations

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) Degenerate elliptic equations (35J70)

Related Items (7)

On potential wells to a semilinear hyperbolic equation with damping and conical singularity ⋮ Lower bounds of Dirichlet eigenvalues for some degenerate elliptic operators ⋮ Existence of multiple solutions to semilinear Dirichlet problem for subelliptic operator ⋮ Global existence and blow-up of solutions for infinitely degenerate semilinear pseudo-parabolic equations with logarithmic nonlinearity ⋮ Asymptotic behavior and blow-up of solutions for infinitely degenerate semilinear parabolic equations with logarithmic nonlinearity ⋮ Global existence and non-existence analyses for a semilinear edge degenerate parabolic equation with singular potential term ⋮ Existence and multiplicity of solutions to Dirichlet problem for semilinear subelliptic equation with a free perturbation

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