Positive solutions of singularly perturbed nonlinear elliptic problem on Riemannian manifolds with boundary

zbMath1204.58017arXiv1012.5668MaRDI QIDQ1958994

Marco Ghimenti, Anna Maria Micheletti

Publication date: 1 October 2010

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5668

zbMATH Keywords

perturbationpositive solutionnonlinear elliptic problemRiemannian manifold with boundary

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30) Elliptic equations on manifolds, general theory (58J05) Boundary value problems on manifolds (58J32)

Related Items (4)

Construction of solutions for a nonlinear elliptic problem on Riemannian manifolds with boundary ⋮ Positive solutions for double singularly perturbed Schrödinger Maxwell systems ⋮ Nondegeneracy of critical points of the mean curvature of the boundary for Riemannian manifolds ⋮ Low energy solutions for singularly perturbed coupled nonlinear systems on a Riemannian manifold with boundary

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