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 [10.1080/17476933.2020.1711745].
An elliptic equation on n-dimensional manifolds
Vetro C.
2021
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.
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