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Multiplicity of positive and nodal solutions for nonlinear elliptic problems in RN

  • Ziqing Xie (a1)

Abstract

We consider the following problem:

where

for xRN, f(x, t), ft (x, t) ∈ C(RN × R), and f (x, t) ≧ 0 for all xRN and tR+, f(x, t) is an odd function of t. We show that if the maximum of Q(x) is achieved at k different points of RN, then for μ large enough the above problem has at least k positive solutions and k nodal solutions.

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References

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Multiplicity of positive and nodal solutions for nonlinear elliptic problems in RN

  • Ziqing Xie (a1)

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