On multiple solutions of semilinear elliptic equation on unbounded domains with concave and convex nonlinearities

Nonlinear Analysis, Theory, Methods and Applications

Volumn 28, Issue 5, 1997, Pages 809-814

  Tshinanga, S B ^a  

^a UNIVERSITY OF ALABAMA AT BIRMINGHAM   (United States)

Author keywords

Existence of multiple solutions; Minimax method; Palais Smale condition; Semilinear elliptic equation on unbounded domains

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIATION (CALCULUS); PROBLEM SOLVING; THEOREM PROVING;

CONCAVE NONLINEARITIES; CONVEX NONLINEARITIES; MINIMAX METHOD; MULTIPLE SOLUTIONS; PALAIS-SMALE CONDITION; SEMILINEAR ELLIPTIC EQUATION; SOBOLEV INEQUALITY; UNBOUNDED DOMAINS;

NONLINEAR EQUATIONS;

EID: 0031103525     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00190-7     Document Type: Article

References (3)

1. AMBROSETTI H., BRÉZIS H. & CERAMI G., Combined effects of concave and convex nonlinearities in some elliptic problems, J. funct. Analysis 122, 519-543 (1994).
2. BARTSCH T. & WILLEM M., On elliptic equations with concave and convex nonlinearities, Proc. Am. math. Soc. (to appear).
3. BARTSCH T., Infinitely many solutions of a symmetric Dirichlet problem, Nonlinear Analysis 20, 1205-1216 (1993).