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EnglishIn this paper, we consider the following problem: {-Delta(g)u +V(x)u =lambda alpha(x)f(u), in M, u >= 0, in M, (p(lambda)) u -> 0, as d(g)(x(0), x) -> infinity, where (M, g) is a N-dimensional (N >= 3), non-compact Riemannian manifold with asymptotically non-negative Ricci curvature, lambda is a real parameter, V is a positive coercive potential, alpha is a bounded function and f is a suitable nonlinearity. By using variational methods, we prove a characterization result for existence of solutions for (P-lambda).
| Titolo: | A characterization related to Schrodinger equations on Riemannian manifolds |
| Autori interni: | |
| Data di pubblicazione: | 2019 |
| Rivista: | |
| Abstract: | In this paper, we consider the following problem: {-Delta(g)u +V(x)u =lambda alpha(x)f(u), in M, u >= 0, in M, (p(lambda)) u -> 0, as d(g)(x(0), x) -> infinity, where (M, g) is a N-dimensional (N >= 3), non-compact Riemannian manifold with asymptotically non-negative Ricci curvature, lambda is a real parameter, V is a positive coercive potential, alpha is a bounded function and f is a suitable nonlinearity. By using variational methods, we prove a characterization result for existence of solutions for (P-lambda). |
| Handle: | http://hdl.handle.net/20.500.11769/359068 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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