6533b7d7fe1ef96bd1267b3f
RESEARCH PRODUCT
An elliptic equation on n-dimensional manifolds
Calogero Vetrosubject
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 spaceAnalysisMathematicsdescription
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.
year | journal | country | edition | language |
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2020-01-27 | Complex Variables and Elliptic Equations |