Mieko Tanaka, Uniqueness of a positive solution and existence of a sign-changing solution for (p,q)-Laplace equation, 2014 (2014), Article ID 14 (17 July 2014)

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Abstract

In this paper, we deal with the existence of a sign-changing solution and the uniqueness of a positive solution for quasilinear elliptic equations of the form -mu Delta_p u-Delta_q u=lambda m_q(x)|u|^{q-2}u in Omega with 1<q<p<infty and mu>0, under the Dirichlet boundary condition, where Omega is a bounded domain in R^N and m_q is a weight function in L^{infty}(Omega) admitting sign-change.

 

How to Cite this Article:

Mieko Tanaka, Uniqueness of a positive solution and existence of a sign-changing solution for (p,q)-Laplace equation, Journal of Nonlinear Functional Analysis 2014 (2014), Article ID 14.