On the elliptic problems involving multi-singular inverse square potentials and multi-critical Sobolev-Hardy exponents

DOI10.1016/j.na.2006.02.026zbMath1162.35031OpenAlexW2081362880MaRDI QIDQ875288

Dongsheng Kang, Guiqing Li

Publication date: 13 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.na.2006.02.026

zbMATH Keywords

variational methodelliptic problemmulti-singularSobolev-Hardy exponentmulti-critical

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items (15)

Nonexistence of \(p\)-Laplace equations with multiple critical Sobolev-Hardy terms ⋮ The existence of a nontrivial weak solution to a double critical problem involving a fractional Laplacian in \(\mathbb{R}^N\) with a Hardy term ⋮ Semilinear Elliptic Equation with Biharmonic Operator and Multiple Critical Nonlinearities ⋮ Doubly critical problems involving fractional Laplacians in \(\mathbb{R}^N\) ⋮ Existence of solutions for Choquard type elliptic problems with doubly critical nonlinearities ⋮ Global compactness results for quasilinear elliptic problems with combined critical Sobolev-Hardy terms ⋮ Multiplicity of positive solutions for weighted quasilinear elliptic equations involving critical Hardy-Sobolev exponents and concave-convex nonlinearities ⋮ Positive solutions to multi-critical elliptic problems ⋮ Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains ⋮ ON THE MULTI-SINGULAR ELLIPTIC PROBLEM INVOLVING HARDY–SOBOLEV INEQUALITIES ⋮ Existence of multiple positive solutions to singular elliptic systems involving critical exponents ⋮ The existence of solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms ⋮ Nontrivial solutions to semilinear elliptic problems involving two critical Hardy-Sobolev exponents ⋮ On a \(p\)-Laplace equation with multiple critical nonlinearities ⋮ Improved Sobolev inequalities involving weighted Morrey norms and the existence of nontrivial solutions to doubly critical elliptic systems involving fractional Laplacian and Hardy terms

Cites Work

• Unnamed Item
• Unnamed Item
• Solutions for semilinear elliptic equations with critical exponents and Hardy potential
• Positive solutions for some singular critical growth nonlinear elliptic equations
• 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
• Hardy inequalities and some critical elliptic and parabolic problems
• The role played by space dimension in elliptic critical problems
• A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
• Existence of solutions for a nonlinear PDE with an inverse square potential.
• Existence of solutions for elliptic equations with critical Sobolev--Hardy exponents.
• Positive solutions for singular critical elliptic problems.
• Existence of solutions for elliptic problems with critical Sobolev-Hardy exponents
• Quasilinear elliptic problems with critical exponents and Hardy terms
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• Dual variational methods in critical point theory and applications
• Solutions to critical elliptic equations with multi-singular inverse square potentials
• An elliptic equation with combined critical Sobolev-Hardy terms
• Existence and multiplicity for perturbations of an equation involving a Hardy inequality and the critical Sobolev exponent in the whole of \(\mathbb R^N\)
• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Selected new aspects of the calculus of variations in the large
• Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
• Elliptic Equations with Multi-Singular Inverse-Square Potentials and Critical Nonlinearity
• Existence of solutions for singular critical growth semilinear elliptic equations

This page was built for publication: On the elliptic problems involving multi-singular inverse square potentials and multi-critical Sobolev-Hardy exponents