Nontrivial solutions for a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type
From MaRDI portal
Publication:488664
DOI10.1016/j.jmaa.2013.03.016zbMath1307.35123OpenAlexW1996636919MaRDI QIDQ488664
Publication date: 26 January 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.03.016
Variational inequalities (49J40) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)
Related Items
Several logarithmic Caffarelli-Kohn-Nirenberg inequalities and applications ⋮ Solutions for a Kirchhoff Equation with Weight and Nonlinearity with Subcritical and Critical Caffarelli–Kohn–Nirenberg Growth ⋮ Multiple symmetric results for quasilinear elliptic systems involving singular potentials and critical Sobolev exponents in \(\mathbb{R}^N\) ⋮ The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \(G\)-symmetric solutions of critical elliptic equations of Caffarelli-Kohn-Nirenberg type
- Multiple positive solutions for semilinear elliptic equations with critical weighted Hardy-Sobolev exponents
- A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
- Solutions for semilinear elliptic equations with critical exponents and Hardy potential
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- On elliptic problems involving critical Hardy-Sobolev exponents and sign-changing function
- Extremal functions for the Caffarelli-Kohn-Nirenberg inequalities: A simple proof of the symmetry
- Positive solutions to the weighted critical quasilinear problems
- Multiple positive solutions for a quasilinear elliptic equation involving singular potential and critical Sobolev exponent
- Existence and multiplicity of solutions for semilinear elliptic equations with critical weighted Hardy-Sobolev exponents
- A note on the problem \(-\Delta u=\lambda u+u\,| u| ^{2^*-2}\)
- An existence result for nonliner elliptic problems involving critical Sobolev exponent
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- 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.
- Caffarelli--Kohn--Nirenberg inequalities with remainder terms.
- Existence of solutions for a nonlinear PDE with an inverse square potential.
- Multiple solutions for a semilinear equation involving singular potential and critical exponent
- Elliptic problems with critical exponents and Hardy potentials.
- The effect of domain topology on the number of positive solutions for singular elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities
- Existence results for Brezis-Nirenberg problems with Hardy potential and singular coefficients
- The solvability of quasilinear Brezis-Nirenberg-type problems with singular weights
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Quasilinear elliptic equations involving critical Sobolev exponents
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- On the Best Constant for a Weighted Sobolev-Hardy Inequality
- On existence of positive solutions for a class of Caffarelli–Kohn–Nirenberg type equations
- POSITIVE SOLUTIONS FOR ELLIPTIC EQUATIONS RELATED TO THE CAFFARELLI–KOHN–NIRENBERG INEQUALITIES
- Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
- COMPACTNESS AND EXISTENCE RESULTS FOR DEGENERATE CRITICAL ELLIPTIC EQUATIONS
- On a Class of Critical Elliptic Equations of Caffarelli-Kohn-Nirenberg Type