Existence and Multiplicity Results for Nonlinear Elliptic Problems in ℝN with an Indefinite Functional
Date
2002-03-04
Authors
Costa, David G.
Guo, Yuxia
Ramos, Miguel
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We prove the existence of a nontrivial solution for the nonlinear elliptic problem -∆u = λh(x)u + α(x)g(u) in ℝN, where g is superlinear near zero and near infinity, α(x) changes sign, λ is positive, and h(x) ≥ 0 is a weight function. For g odd, we prove the existence of an infinite number of solutions.
Description
Keywords
Superlinear elliptic problems, Morse index, Minimax methods
Citation
Costa, D. G., Guo, Y., & Ramos, M. (2002). Existence and multiplicity results for nonlinear elliptic problems in RN with an indefinite functional. <i>Electronic Journal of Differential Equations, 2002</i>(25), pp. 1-15.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.