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

  • Chen K
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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

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  • Kuan Ju Chen

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