Nonlinear nonhomogeneous Neumann problem on the Heisenberg group

DOI10.1080/00036811.2020.1807013zbMath1492.35402OpenAlexW3049197510MaRDI QIDQ5085506

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Publication date: 27 June 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1807013

zbMATH Keywords

Heisenberg groupvariational principleLie groupNeumann problemPalais-Smale compactness conditionmountain pass geometry theorem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (13)

Existence of radial solutions of the Kohn–Laplacian problem ⋮ Existence of a mountain pass solution for a nonlocal fractional \((p, q)\)-Laplacian problem ⋮ Existence and multiplicity of solutions for \(p(x)\)-Laplacian problem with Steklov boundary condition ⋮ Existence of radial solutions for a \(p(x)\)-Laplacian Dirichlet problem ⋮ Existence of solutions for a quasilinear problem with fast nonlocal terms ⋮ Solutions for a nonlocal elliptic system with general growth ⋮ Entire weak solutions for an anisotropic equation in the Heisenberg group ⋮ A class of biharmonic nonlocal quasilinear systems consisting of Leray-Lions type operators with Hardy potentials ⋮ Solutions of an anisotropic elliptic problem involving nonlinear terms ⋮ An elliptic type inclusion problem on the Heisenberg Lie group ⋮ Existence and multiplicity of solutions for a weighted \((p,q)\)-Laplacian problem on the Heisenberg Lie groups ⋮ Existence of radial weak solutions to Steklov problem involving Leray-Lions type operator ⋮ Infinitely many solutions for $(p(x),q(x))$-Laplacian-like systems

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