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- W2952928836 abstract "We consider a nonlinear eigenvalue problem under Robin boundary conditions in a domain with (possibly noncompact) smooth boundary. The problem involves a weighted p-Laplacian operator and subcritical nonlinearities satisfying Ambrosetti-Rabinowitz type conditions. Using Morse theory and a cohomological local splitting as in Degiovanni et al. [5], we prove the existence of a nontrivial weak solution for all (real) values of the eigenvalue parameter. Our result is new even in the semilinear case p = 2 and complements some recent results obtained in Autuori et al. [1]." @default.
- W2952928836 created "2019-06-27" @default.
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- W2952928836 date "2013-05-09" @default.
- W2952928836 modified "2023-09-27" @default.
- W2952928836 title "An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains" @default.
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