Eigenvalue problem for a \(p\)-Laplacian equation with trapping potentials

DOI10.1016/j.na.2016.10.002zbMath1362.35132arXiv1605.08206OpenAlexW2401541023MaRDI QIDQ343029

Huan-Song Zhou, Long-Jiang Gu, Xiaoyu Zeng

Publication date: 18 November 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08206

zbMATH Keywords

eigenvalue problem\(p\)-Laplacianelliptic equationblowup rateleast energy

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

Normalized solutions to p-Laplacian equations with combined nonlinearities* ⋮ The existence and nonexistence of normalized solutions for a \(p\)-Laplacian equation ⋮ Normalized solutions for \((p,q)\)-Laplacian equations with mass supercritical growth ⋮ Normalized solutions for the \(p\)-Laplacian equation with a trapping potential ⋮ Normalized solutions for p-Laplacian equations with a \(L^2\)-supercritical growth ⋮ A constrained variational problem arising in attractive Bose-Einstein condensate with ellipse-shaped potential ⋮ Unnamed Item ⋮ The existence of constrained minimizers related to fractional \(p\)-Laplacian equations ⋮ Concentration behavior of nonlinear Hartree-type equation with almost mass critical exponent

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials
• Sharp Gagliardo-Nirenberg inequalities via \(p\)-Laplacian type equations
• Nonlinear Schrödinger equations and sharp interpolation estimates
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The maximum principle
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• The strong maximum principle revisited.
• Symmetry of ground states of \(p\)-Laplace equations via the moving plane method
• Mathematical theory and numerical methods for Bose-Einstein condensation
• On the mass concentration for Bose-Einstein condensates with attractive interactions
• Uniqueness of ground states for quasilinear elliptic equations
• Eigenvalue problems for quasilinear elliptic equations on R^N
• Radial symmetry of positive solutions of nonlinear elliptic equations in Rⁿ
• Quasilinear elliptic equations involving critical Sobolev exponents
• Some properties of weak solutions of nonlinear scalar field equations
• Properties of ground states of attractive Gross–Pitaevskii equations with multi-well potentials
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Stability of attractive Bose-Einstein condensates

This page was built for publication: Eigenvalue problem for a \(p\)-Laplacian equation with trapping potentials