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摘要
We consider semilinear elliptic problems in which the right-hand-side nonlinearity depends on a parameter nonlinearities lambda > 0. Two multiplicity results are presented, guaranteeing the existence of at least three non-trivial solutions for this kind of problem, when the parameter lambda belongs to an interval (0, lambda*). Our approach is based on variational techniques, truncation methods and critical groups. The first result incorporates as a special case problems with concave convex nonlinearities, while the second one involves concave nonlinearities perturbed by an asymptotically linear nonlinearity at infinity.
- 出版日期2009-2
