Multiplicity and nondegeneracy of positive solutions to quasilinear equations on compact Riemannian manifolds

DOI10.1142/S0219199714500291zbMath1315.58014OpenAlexW1998845564WikidataQ115245757 ScholiaQ115245757MaRDI QIDQ5245051

Silvia Cingolani, Giuseppina Vannella, Daniela Visetti

Publication date: 1 April 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199714500291

zbMATH Keywords

positive solutionsRiemannian manifoldMorse indexquasilinear elliptic equationsperturbation results

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Elliptic equations on manifolds, general theory (58J05) Perturbations in context of PDEs (35B20) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92) PDEs on manifolds (35R01)

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