Existence and structure of the set of positive solutions of a general class of sublinear elliptic non-classical mixed boundary value problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 49, Issue 3, 2002, Pages 361-430

  Cano Casanova, Santiago ^a  

^a UNIVERSIDAD PONTIFICIA COMILLAS   (Spain)

Author keywords

Bifurcation; Global continuation; Mixed boundary conditions; Positive solutions; Principal eigenvalues

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; SET THEORY; THEOREM PROVING;

POSITIVE SOLUTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 0036532754     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00116-X     Document Type: Article

References (21)

1. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions
2. Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
3. Dual semigroups and second order linear elliptic boundary value problems
4. A priori bounds and multiple solutions for superlinear indefinite elliptic problems
5. Remarks on sublinear elliptic equations
6. Bifurcation, perturbation of simple eigenvalues and linearized stability
7. Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equation
8. Pointwise growth and uniqueness of positive solutions for a class of sublinear elliptic problems where bifurcation from infinity occurs
9. The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
10. Large solutions, metasolutions and asymptotic behaviour of the regular positive solutions of sublinear parabolic problems with refuges
11. The maximum principle for cooperative weakly coupled elliptic systems and some applications
12. First variations of principal eigenvalues with respect to the domain and point-wise growth of positive solutions for problems where bifurcation from infinity occurs
13. p = 0 on the compact manifolds
14. Some global results for nonlinear eigenvalue problems