The existence of infinitely many solutions all bifurcating from λ = 0-Reference-Cited by-同舟云学术

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The existence of infinitely many solutions all bifurcating from λ = 0

Published:1991 Issue:3-4 Volume:118 Page:295-303
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Rother Wolfgang

Abstract

SynopsisWe consider the non-linear differential equation

and state conditions for the function q such that (*) has infinitely many distinct pairs of (weak) solutions such that holds for all k ∈ ℕ. The main tools are results from critical point theory developed by A. Ambrosetti and P. H. Rabinowitz [1].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference15 articles.

1. Dual variational methods in critical point theory and applications

2. Bifurcation for variational problems when the linearisation has no eigenvalues

3. Bifurcation from the essential spectrum of superlinear elliptic equations;Zhou;Appl. Analysis.,1988

4. Bifurcation in Lp (RN ) for a Semilinear Elliptic Equation

5. Global bifurcation for Neumann problems without eigenvalues

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bifurcation from the Essential Spectrum;Topological Nonlinear Analysis II;1997

2. Negative Eigenvalues for a Nonlinear Differential Equation on $\mathbb{R}$;SIAM Journal on Mathematical Analysis;1993-05

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