Existence of radial solutions for a weighted \(p\)-biharmonic problem with Navier boundary condition on the Heisenberg group

DOI10.1515/ms-2022-0046zbMath1491.35420OpenAlexW4285101748MaRDI QIDQ2144636

Abdolrahman Razani, Farzaneh Safari

Publication date: 14 June 2022

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2022-0046

zbMATH Keywords

variational principlemountain pass geometry theoremHeisenberg \(p\)-biharmonic equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Weak solutions to PDEs (35D30) Variational methods for higher-order elliptic equations (35J35) Semilinear elliptic equations (35J61) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (11)

Degenerated and Competing Horizontal (p, q)-Laplacians with Weights on the Heisenberg Group ⋮ Radial solutions for a p-Laplace equation involving nonlinearity terms ⋮ 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 ⋮ Solutions to a \((p_1, \ldots ,p_n)\)-Laplacian problem with Hardy potentials ⋮ Solutions to a \((p(x),q(x))\)-biharmonic elliptic problem on a bounded domain ⋮ 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 ⋮ A \((p(x),q(x))\)-Laplacian problem with the Steklov boundary conditions

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