Sign-changing solutions of boundary value problems for semilinear -Laplace equations
Duong Trong Luyen
Ton Duc Thang University, Ho Chi Minh City, Vietnam
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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