Existence and Non-Existence Results for Quasilinear Elliptic Exterior Problems with Nonlinear Boundary Conditions |
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| Authors: | Roberta Filippucci Vicenţiu Rădulescu |
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| Institution: | 1. Dipartimento di Matematica e Informatica , Università degli Studi di Perugia , Perugia, Italy;2. Institute of Mathematics “Simion Stoilow” of the Romanian Academy , Bucharest, Romania |
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| Abstract: | Existence and non-existence results are established for quasilinear elliptic problems with nonlinear boundary conditions and lack of compactness. The proofs combine variational methods with the geometrical feature, due to the competition between the different growths of the nonlinearities. |
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| Keywords: | Existence and non-existence results Exterior domain Nonlinear boundary condition Quasilinear elliptic equation |
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