On sign-changing solutions of certain semilinear elliptic problems
- 1 April 1995
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 56 (3-4) , 193-206
- https://doi.org/10.1080/00036819508840321
Abstract
In this paper we study the existence of sign-changing solutions of the problem -δu=f(u), u|∂D=0. In particular we answer some of the questions left open in an earlier paper by the authors.Keywords
This publication has 15 references indexed in Scilit:
- Upper and lower stability and index theory for positive mappings and applicationsNonlinear Analysis, 1991
- The effect of domain shape on the number of positive solutions of certain nonlinear equations, IIJournal of Differential Equations, 1990
- Multiple fixed points of positive mappings.Journal für die reine und angewandte Mathematik (Crelles Journal), 1986
- Nonlinear Functional AnalysisPublished by Springer Nature ,1985
- Degenerate critical points, homotopy indices and Morse inequalities.Journal für die reine und angewandte Mathematik (Crelles Journal), 1984
- A priori bounds for positive solutions of nonlinear elliptic equationsCommunications in Partial Differential Equations, 1981
- On the Dirichlet problem for weakly non-linear elliptic partial differential equationsProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1977
- On a class of superlinear elliptic problemsCommunications in Partial Differential Equations, 1977
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach SpacesSIAM Review, 1976
- Boundary value problems with jumping nonlinearitiesČasopis pro pěstování matematiky, 1976