MULTIPLICITY RESULTS FOR A NEUMANN BOUNDARY VALUE PROBLEM INVOLVING THE P(X)-LAPLACIAN

作者：Cammaroto F^*; Vilasi L

来源：Taiwanese Journal of Mathematics, 2012, 16(2): 621-634.

DOI：10.11650/twjm/1500406606

• p(x)-Laplacian
• Neumann problem
• Multiplicity results

In this paper we are interested in the multiplicity of weak solutions to the following Neumann problem involving the p(x)-Laplacian operator %26lt;br%26gt;{-Delta(p(x))u + vertical bar u vertical bar(p(x)-2)u = lambda alpha(x)f(u) + beta(x)g(u) in Omega %26lt;br%26gt;partial derivative u/partial derivative v = 0 on partial derivative Omega %26lt;br%26gt;We establish the existence of at least three solutions to this problem by using, as main tool, a recent variational principle due to Ricceri.

• 出版日期2012-4