Work

Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking

Year: 1996

Type: article

Abstract: We consider the Dirichlet problem for the equation −∆u = λu + h(x)f(u) , with h changing sign. In particular, we study existence of nontrivial solutions in the case where f has superlinear growth, but is not assumed to be odd. Two different approaches are used: one involving Morse theory and one using min-max methods. Résumé Nous étudions le problème de Dirichlet pour l’équation −∆u = λu + h(x)f(u) , où h est une fonction qui change de signe. En particulier, nous établissons l’existence de solutions non triviales quand f est surlinéaire, mais pas nécessairement impair. Nous nous servons de deux approches différentes, l’une basée sur la théorie de Morse, et l’autre sur les méthodes d’enlacement.

Source: Annales de l Institut Henri Poincaré C Analyse Non Linéaire

DOI: 10.1016/s0294-1449(16)30098-1

Authors: Manuel Del Pino, Stanley Alama

Institutions: University of Chicago, McMaster University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Natural Sciences and Engineering Research Council of Canada

OpenAlex ID: W144334798

FWCI: 2.804

Cites: 21

Cited by: 60

Related to: 10