Multiple solutions for a weighted $p$-Laplacian problem

zbMath1498.35315arXiv2207.04462MaRDI QIDQ5866544

Abhishek Sarkar, Rohit Kumar

Publication date: 22 September 2022

Full work available at URL: https://arxiv.org/abs/2207.04462

zbMATH Keywords

existenceDirichlet conditionweighted \(p\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• A minimax inequality and its applications to ordinary differential equations
• Three solutions for a Dirichlet boundary value problem involving the \(p\)-Laplacian
• A three critical points theorem revisited
• Singular solutions of the \(p\)-Laplace equation
• On boundary value problems for degenerate quasilinear elliptic equations and inequalities
• Three solutions to a Neumann problem for elliptic equations involving the \(p\)-Laplacian
• On a three critical points theorem
• Multiplicity theorems for the Dirichlet problem involving the \(p\)-Laplacian.
• Existence of solutions of the Neumann problem for a class of equations involving the \(p\)-Laplacian via a variational principle of Ricceri
• Boundary value problems for some degenerate-elliptic operators
• Existence of three solutions for a class of elliptic eigenvalue problems
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