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Existence of infinitely many solutions for a quasilinear elliptic equation

Authors
Journal
Applied Mathematics Letters
0893-9659
Publisher
Elsevier
Volume
37
Identifiers
DOI: 10.1016/j.aml.2014.06.010
Keywords
  • Quasilinear Elliptic Equation
  • Infinitely Many Solutions
  • Dual Approach

Abstract

Abstract In this paper, we study the following quasilinear elliptic equation −Δu−Δ(u2)u=g(x,u),in Ω,u=0,on ∂Ω, where Ω is a bounded smooth domain in RN. Using some special techniques, the existence of infinitely many solutions is obtained by a dual approach, which unifies and improves the recent result of Liu et al. (2013).

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