Lions-type properties for the \(p\)-Laplacian and applications to quasilinear elliptic equations

DOI10.1007/s12220-022-01150-4OpenAlexW4315707028MaRDI QIDQ2682381

Yanyan Li

Publication date: 31 January 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-022-01150-4

zbMATH Keywords

existencequasilinear elliptic equationcritical exponent\(p\)-Laplacian

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (1)

Limit cycles near a homoclinic loop connecting a tangent saddle in a perturbed quadratic Hamiltonian system

Cites Work

• Nonlinear biharmonic problems with singular potentials
• Compactness and existence results for the \(p\)-Laplace equation
• On the geometry of the \(p\)-Laplacian operator
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• On a \(p\)-Laplace equation with multiple critical nonlinearities
• Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• Weighted Sobolev embeddings and radial solutions of inhomogeneous quasilinear elliptic equations
• Lions-type theorem of the fractional Laplacian and applications
• Ground state of the Frenkel-Kontorova model with a globally deformable substrate potential
• On symmetric solutions for \((p, q)\)-Laplacian equations in \(\mathbb{R}^N\) with critical terms
• Weighted Sobolev embedding with unbounded and decaying radial potentials
• A nonlinear elliptic equation with singular potential and applications to nonlinear field equations
• Existence and nonexistence results for quasilinear elliptic equations involving the \(p\)-Laplacian with a critical potential
• A note on nonlinear elliptic problems with singular potentials
• Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
• Weighted Sobolev type embeddings and coercive quasilinear elliptic equations on $\mathbb{R}^{N}$
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Asymptotic states for equations of reaction and diffusion
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Variational Methods in Nonlinear Field Equations
• Nonlinear potential analysis on Morrey spaces and their capacities

This page was built for publication: Lions-type properties for the \(p\)-Laplacian and applications to quasilinear elliptic equations