6533b7d7fe1ef96bd1267b3f

RESEARCH PRODUCT

An elliptic equation on n-dimensional manifolds

Calogero Vetro

subject

Numerical AnalysisPure mathematicsN dimensionalApplied MathematicsOperator (physics)p-Laplacian-like operator010102 general mathematicsIsocapacitary inequalityRiemannian manifoldSobolev space01 natural sciences010101 applied mathematicsSobolev spaceComputational MathematicsElliptic curvemountain pass geometrySettore MAT/05 - Analisi MatematicaMathematics::Differential Geometry0101 mathematicsOrlicz spaceAnalysisMathematics

description

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.

https://doi.org/10.1080/17476933.2020.1711745