Existence of positive solutions for a problem with lack of compactness involving the p-Laplacian

Nonlinear Analysis, Theory, Methods and Applications

Volumn 51, Issue 7, 2002, Pages 1187-1206

  Alves, Claudianor O ^a  

^a FEDERAL UNIVERSITY OF PARAÍBA   (Brazil)

Author keywords

Critical Sobolev exponents; p Laplacian operator; Palais Smale condition

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS; THEOREM PROVING; VARIATIONAL TECHNIQUES;

LAPLACIAN OPERATORS;

PROBLEM SOLVING;

EID: 0036885511     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00887-2     Document Type: Article

References (18)

1. Problems isoperimetriques et espaces of Sobolev
2. N
3. A Relation between pointwise convergence of functions and convergence of functional
4. Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
5. Extrema problems with critical exponents on unbounded domain
6. Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
7. Some existence results for superlinear elliptic boundary value problems involving critical exponents
8. Existence and nonuniqueness for the p-Laplacian: Nonlinear Eigenvalue
9. Multiplicity of solutions for elliptic problems with critical exponent on with a nonsymetric term
10. Quasilinear elliptic equations involving critical Sobolev exponents
11. The concentration-compactness principle in the calculus of variations: The limit case
12. Quasilinear elliptic problems with critical exponents
13. 2*-1 in bounded domains
14. A global compactness result for elliptic boundary value problem involving limiting nonlinearities
15. Best constant in Sobolev inequality
16. The existence of a positive solution of semilinear elliptic equations with limiting Sobolev exponent