Existence of non-trivial solutions of elliptic variational systems in unbounded domains

Nonlinear Analysis, Theory, Methods and Applications

Volumn 51, Issue 1, 2002, Pages 155-169

  Carrião, Paulo Cesar ^a   Miyagaki, Olímpio Hiroshi ^b  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^b FEDERAL UNIVERSITY OF VIÇOSA   (Brazil)

Author keywords

Critical Sobolev exponents; Cylinder type domains; Elliptic systems; Non trivial solutions

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; THEOREM PROVING;

ELLIPTIC VARIATIONAL SYSTEMS;

NONLINEAR EQUATIONS;

EID: 0036778833     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00817-3     Document Type: Article

References (18)

1. Nonlinear elliptic problems in strip-like domains: Symmetry of positive vortex rings
2. Simplicité et isolation de la première valeur propre du p-Laplacien avec poids
3. Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
4. Multiplicity of solutions for elliptic problems with critical exponents with a non symmetric term
5. Quasilinear elliptic problem with critical exponents
6. Systems of p-Laplacian equations involving homogeneous nonlinearities with critical Sobolev exponent degrees
7. The concentration-compactness principle in the calculus of variations. The locally compact case. Part 1 and 2
8. The concentration compactness principle in the calculus of variations. The limite case, Part 2
9. Least energy solutions for elliptic equations in unbounded domains
10. Positive solutions for elliptic equations with critical growth in unbounded domains
11. On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
12. Extrema problems with critical Sobolev exponents on unbounded domains
13. On a class of variational systems in unbounded domains
14. Best constants in Sobolev inequality
15. Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
16. A concentration-compactness lemma with applications to singular eigenvalue problems
17. Singular minimization problems