Ground state solution for a critical Schrödinger equation involving the p-Laplacian operator and potential term

DOI10.1007/S41808-024-00271-XzbMATH Open1539.35118MaRDI QIDQ6539362

Rachid Echarghaoui, Zakaria Zaimi

Publication date: 14 May 2024

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

zbMATH Keywords

\(p\)-Laplacianexistence of a nonnegative ground state solution

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Eigenvalue problem for a \(p\)-Laplacian equation with trapping potentials
• The critical case for a Berestycki-Lions theorem
• Compactness and existence results for the \(p\)-Laplace equation
• Existence of a ground state solution for a nonlinear scalar field equation with critical growth
• Nonlinear scalar field equations. I: Existence of a ground state
• On a \(p\)-Laplace equation with multiple critical nonlinearities
• Minimax theorems
• Ground state solution for critical Schrödinger equation with harmonic potential
• Weighted Sobolev embedding with unbounded and decaying radial potentials
• Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
• Existence of a positive solution for some quasilinear elliptic equations in \(\mathbb{R}^N\)
• Lions-type properties for the \(p\)-Laplacian and applications to quasilinear elliptic equations
• Existence of solutions to a class of quasilinear elliptic equations
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• On the critical \(p\)-Laplace equation

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