Normalized solutions for the \(p\)-Laplacian equation with a trapping potential

DOI10.1515/anona-2022-0291OpenAlexW4360998629MaRDI QIDQ2700937

Juntao Sun, Chao Wang

Publication date: 27 April 2023

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2022-0291

zbMATH Keywords

variational methods\(p\)-Laplacian equationnormalized solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

The existence and nonexistence of normalized solutions for a \(p\)-Laplacian equation ⋮ Existence and stability of normalized solutions for nonlocal double phase problems ⋮ Normalized solutions of nonhomogeneous mass supercritical Schrödinger equations in bounded domains ⋮ Normalized ground states to the \(p\)-Laplacian equation with general nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials
• Eigenvalue problem for a \(p\)-Laplacian equation with trapping potentials
• A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
• Existence and stability of standing waves for supercritical NLS with a partial confinement
• Sharp Gagliardo-Nirenberg inequalities via \(p\)-Laplacian type equations
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials
• Symmetry of ground states of \(p\)-Laplace equations via the moving plane method
• Normalized ground states for the NLS equation with combined nonlinearities
• Normalized solutions for p-Laplacian equations with a \(L^2\)-supercritical growth
• Liouville results for \(m\)-Laplace equations of Lane-Emden-Fowler type
• On the mass concentration for Bose-Einstein condensates with attractive interactions
• Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
• Uniqueness of ground states for quasilinear elliptic equations
• On Dipolar Quantum Gases in the Unstable Regime
• Eigenvalue problems for quasilinear elliptic equations on R^N
• Existence of solutions with prescribed norm for semilinear elliptic equations
• Radial symmetry of positive solutions of nonlinear elliptic equations in Rⁿ
• Normalized Solutions for Lower Critical Choquard Equations with Critical Sobolev Perturbation
• Stationary Waves with Prescribed $L^2$-Norm for the Planar Schrödinger--Poisson System
• Variable Exponent, Linear Growth Functionals in Image Restoration

This page was built for publication: Normalized solutions for the \(p\)-Laplacian equation with a trapping potential