Existence,nonexistence and multiplicity results for nonlocal Dirichlet problems |
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| Authors: | Gonzalo Dávila Alexander Quaas Erwin Topp |
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| Institution: | 1. Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla: v-110, Avda. España 1680, Valparaíso, Chile;2. Departamento de Matemática y C.C., Universidad de Santiago de Chile, Casilla 307, Santiago, Chile |
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| Abstract: | In this paper we establish various existence, nonexistence and multiplicity results for fully nonlinear Dirichlet problems associated to nonlocal Hamilton–Jacobi equations. This study is accomplished by a careful analysis of the principal eigenvalues of the elliptic operator. Resonance phenomena and anti maximum principles are also established. |
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| Keywords: | Eigenvalue problem Resonance phenomena Integro-differential operators Fully nonlinear equations |
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