The existence and nonexistence of normalized solutions for a \(p\)-Laplacian equation

DOI10.1016/J.AML.2023.108890zbMath1529.35274OpenAlexW4387504499MaRDI QIDQ6066912

Jun Lei, Chun-Yu Lei, Jiafeng Zhang

Publication date: 16 November 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108890

zbMATH Keywords

existencenon-existence\(p\)-Laplacian equationnormalized solutions

Mathematics Subject Classification ID

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

Cites Work

• Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials
• Eigenvalue problem for a \(p\)-Laplacian equation with trapping potentials
• Sharp Gagliardo-Nirenberg inequalities via \(p\)-Laplacian type equations
• Normalized solutions to the Chern-Simons-Schrödinger system
• Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities
• Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
• Normalized ground states for the NLS equation with combined nonlinearities
• Normalized solutions for p-Laplacian equations with a \(L^2\)-supercritical growth
• On the mass concentration for Bose-Einstein condensates with attractive interactions
• Normalized solutions for the \(p\)-Laplacian equation with a trapping potential
• Normalized solutions to p-Laplacian equations with combined nonlinearities*

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