Critical singular problems via concentration-compactness lemma
From MaRDI portal
Publication:860925
DOI10.1016/J.JMAA.2006.03.002zbMath1159.35373OpenAlexW2052607935WikidataQ124831755 ScholiaQ124831755MaRDI QIDQ860925
Paulo Cesar Carrião, Olímpio Hiroshi Miyagaki, Ronaldo Brasileiro Assunção
Publication date: 9 January 2007
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.2006.03.002
Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20)
Related Items (14)
On a class of degenerate quasilinear elliptic equations with zero mass ⋮ The effect of domain topology on the number of positive solutions for singular elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities ⋮ Existence result for a class of quasilinear elliptic equations with (\(p\)-\(q\))-Laplacian and vanishing potentials ⋮ Existence of multiple solutions for a singular elliptic problem with critical Sobolev exponent ⋮ Non-autonomous perturbations for a class of quasilinear elliptic equations on \(\mathbb R\) ⋮ Higher order singular problems of Caffarelli-Kohn-Nirenberg-Lin type ⋮ Positive solution for a class of degenerate quasilinear elliptic equations in \(\mathbb R^N\) ⋮ Existence of solutions for a class of degenerate quasilinear elliptic equation in \(\mathbb{R}^N\) with vanishing potentials ⋮ Ground states of degenerate quasilinear Schrödinger equation with vanishing potentials ⋮ Existence for \((p, q)\) critical systems in the Heisenberg group ⋮ Unnamed Item ⋮ On positive solution for a class of degenerate quasilinear elliptic positone/semipositone systems ⋮ Multiplicity of solutions to the weighted critical quasilinear problems ⋮ Sign-changing and symmetry-breaking solutions to singular problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Nonlinear scalar field equations. I: Existence of a ground state
- On the singular variational problems
- 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 nonhomogeneous elliptic equations involving critical Sobolev exponent
- Best constant in Sobolev inequality
- On the existence of extremal functions for a weighted Sobolev embedding with critical exponent
- Quasilinear elliptic equations with critical exponents
- Critical singular problems on infinite cones.
- Multiple solutions of some nonlinear elliptic problems containing the \(p\)-Laplacian
- A concentration-compactness lemma with applications to singular eigenvalue problems
- On the existence of positive entire solutions of a semilinear elliptic equation
- Singular minimization problems
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- On the Best Constant for a Weighted Sobolev-Hardy Inequality
- Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
- Multiple solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent
- Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
- On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
- Extrema problems with critical sobolev exponents on unbounded domains
- Quasilinear elliptic problems with critical exponents
- Weak solutions of quasilinear problems with nonlinear boundary condition
This page was built for publication: Critical singular problems via concentration-compactness lemma
