We consider an elliptic equation driven by a p-Laplacian-like operator, on an n-dimensional Riemannian manifold. The growth condition on the right-hand side of the equation depends on the geometry of the manifold. We produce a nontrivial solution by using a Palais–Smale compactness condition and a mountain pass geometry.
Vetro C. (2021). An elliptic equation on n-dimensional manifolds. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 66(2), 209-225.
Data di pubblicazione: | 2021 |
Titolo: | An elliptic equation on n-dimensional manifolds |
Autori: | |
Citazione: | Vetro C. (2021). An elliptic equation on n-dimensional manifolds. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 66(2), 209-225. |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1080/17476933.2020.1711745 |
Abstract: | We consider an elliptic equation driven by a p-Laplacian-like operator, on an n-dimensional Riemannian manifold. The growth condition on the right-hand side of the equation depends on the geometry of the manifold. We produce a nontrivial solution by using a Palais–Smale compactness condition and a mountain pass geometry. |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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