Infinitely many solutions for \(\Delta _\alpha \)-Laplace equations with sign-changing potential

DOI10.1007/S11784-018-0617-3zbMath1402.35109OpenAlexW2891942407MaRDI QIDQ1615343

Belgacem Rahal, Mohamed Karim Hamdani

Publication date: 30 October 2018

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-018-0617-3

zbMATH Keywords

mountain pass theoremweak solutionsFountain theoremcritical point theorems\(\Delta _\alpha \)-Laplace operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Degenerate elliptic equations (35J70) Boundary value problems for second-order elliptic systems (35J57)

Related Items (15)

On the existence of solutions of a Hamiltonian strongly degenerate elliptic system with potentials in \(\mathbb{R}^n\) ⋮ Infinitely many solutions for Kirchhoff-type equations involving degenerate operator ⋮ Existence of ground state solution for semilinear -Laplace equation ⋮ Results on the existence and multiplicity of solutions for a class of sublinear degenerate Schrödinger equations in \(\mathbb{R}^N\) ⋮ A note on positive solutions of Lichnerowicz equations involving the \(\Delta_\lambda\)-Laplacian ⋮ A Berestycki–Lions type result for a class of degenerate elliptic problems involving the Grushin operator ⋮ Nontrivial solutions for a class of Hamiltonian strongly degenerate elliptic system ⋮ Three nontrivial solutions of boundary value problems for semilinear $\Delta_{\gamma}-$Laplace equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Picone's identity for \(\Delta_\gamma \)-Laplace operator and its applications ⋮ On a nonlocal asymmetric Kirchhoff problem ⋮ Multiple solutions for Grushin operator without odd nonlinearity ⋮ Infinitely many solutions for a class of perturbed degenerate elliptic equations involving the Grushin operator ⋮ Liouville-type theorems for sub-elliptic systems involving Δ_λ-Laplacian

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