Multiplicity of positive and nodal solutions for an inhomogeneous nonlinear elliptic problem

  • Chen K
  • 2

    Readers

    Mendeley users who have this article in their library.
  • 2

    Citations

    Citations of this article.

Abstract

In this paper, we show that there exist λ > 2 and C > 0 such that a (x) - 1 ≥ - C e- λ | x |for all x ∈ RN, the nonlinear elliptic problem - Δ u + u = a (x) | u |p - 2u + f (x) in RNhas a solution that changes sign in RN, in addition to two positive solutions. © 2007 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Nodal solutions
  • Nonlinear elliptic problems

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Kuan Ju Chen

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free