Generalized Poincaré-Hopf theorem and application to nonlinear elliptic problem
type: Item
instance of: scholarly article
title: Generalized Poincaré-Hopf theorem and application to nonlinear elliptic problem
zbMATH Open document ID: 1306.35038
published in: Journal of Functional Analysis
publication date: 2014-10-13T00:00:00Z
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35P05
zbMATH DE Number: 6354035
zbMATH Keywords: Poincaré-Hopf theorem
zbMATH Keywords: nonlinear elliptic problem
zbMATH Keywords: non-isolated critical point
zbMATH Keywords: multiple solutions
MaRDI profile type: Publication
full work available at URL: j.jfa.2014.09.018
OpenAlex ID: W1991827457
cites work: Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
cites work: Q3140494
cites work: Q4317306
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: Dirichlet problem with indefinite nonlinearities
cites work: Q4272029
cites work: The existence of infinitely many solutions of a class of nonlinear elliptic equations with Neumann boundary condition for both resonance and oscillation problems.
cites work: THE QUANTITATIVE ANALYSIS ON THE FUCÍK SPECTRUM AND SOLVABILITY OF JUMPING NONLINEAR PROBLEMS
cites work: Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition
cites work: Splitting theorem, Poincaré--Hopf theorem and jumping nonlinear problems
cites work: Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
cites work: Q4069545
cites work: Morse theory in Hilbert space
cites work: On a superlinear elliptic equation
cites work: Minimax theorems
DOI: 10.1016/J.JFA.2014.09.018
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author: Chong Li
description: scientific article; zbMATH DE number 6354035