ON THE MULTI-SINGULAR ELLIPTIC PROBLEM INVOLVING HARDY–SOBOLEV INEQUALITIES

DOI10.1142/S0129167X08004911zbMath1154.35037MaRDI QIDQ3527447

Dongsheng Kang

Publication date: 29 September 2008

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

variational methodHardy-Sobolev inequalitymulti-singular elliptic problem

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Cites Work

• Solutions for semilinear elliptic equations with critical exponents and Hardy potential
• On the elliptic problems involving multi-singular inverse square potentials and multi-critical Sobolev-Hardy exponents
• 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.
• Positive solutions for singular critical elliptic problems.
• Quasilinear elliptic problems with critical exponents and Hardy terms
• On Schrödinger operators with multipolar inverse-square potentials
• Solutions to critical elliptic equations with multi-singular inverse square potentials
• Nonlinear Schrödinger equations with symmetric multi-polar potentials
• 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

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