Sign-changing solutions of boundary value problems for semilinear -Laplace equations

  • Duong Trong Luyen

    Ton Duc Thang University, Ho Chi Minh City, Vietnam
Sign-changing solutions of boundary value problems for semilinear $\Delta_{\gamma}$-Laplace equations cover

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Abstract

In this article, we study the multiplicity of weak solutions to the boundary value problem

where is a bounded domain with smooth boundary in are Carathéodory functions and is the Grushin operator. We use the lower bounds of eigenvalues and an abstract theory on sign-changing solutions.

Cite this article

Duong Trong Luyen, Sign-changing solutions of boundary value problems for semilinear -Laplace equations. Rend. Sem. Mat. Univ. Padova 143 (2020), pp. 113–134

DOI 10.4171/RSMUP/42