On the weighted elliptic problems involving multi-singular potentials and multi-critical exponents

DOI10.1007/s10114-008-6450-7zbMath1180.35235OpenAlexW2113889355MaRDI QIDQ1034268

Dongsheng Kang

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6450-7

zbMATH Keywords

multi-singular potentialsmulti-critical exponentsweighted elliptic problemweighted Hardy-Sobolev exponent

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Positive solutions to PDEs (35B09)

Related Items (3)

Asymptotic behavior of positive solutions of semilinear elliptic equations in \(\mathbb R^n\). II ⋮ Existence result for semilinear elliptic systems involving critical exponents ⋮ Dirichlet problems involving the Hardy-Leray operators with multiple polars

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
• On the elliptic problems with critical weighted Sobolev-Hardy exponents
• 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.
• 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
• On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms
• Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents
• Solutions to critical elliptic equations with multi-singular inverse square potentials
• An elliptic equation with combined critical Sobolev-Hardy terms
• Nonlinear biharmonic equations with critical potential
• Hardy inequalities with optimal constants and remainder terms
• 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 weighted elliptic problems involving multi-singular potentials and multi-critical exponents