4.7 Article

Infinitely many sign-changing solutions for a class of biharmonic equation with p-Laplacian and Neumann boundary condition

Journal

APPLIED MATHEMATICS LETTERS
Volume 73, Issue -, Pages 128-135

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2017.05.001

Keywords

Biharmonic equation; sign-changing solution; p-Laplacian; Neumann boundary condition; Fountain Theorem

Funding

  1. National Natural Science Foundation of China [11371221, 11571296]
  2. Natural Science Foundation of Shandong Province [ZR2014AM034]

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By introducing a subspace of H-2(Omega) with constraints partial derivative u/partial derivative n vertical bar(partial derivative Omega) = 0 and integral(Omega) udx = 0 and using the Fountain Theorem, we obtain the existence of infinitely many sign-changing high energy solutions for a biharmonic equations with p-Laplacian and Neumann boundary condition. (C) 2017 Elsevier Ltd. All rights reserved.

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