Sign-changing solutions of boundary value problems for semilinear Δγ-Laplace equations
Sign-changing solutions of boundary value problems for semilinear Δγ-Laplace equations
Source title:
Rendiconti del Seminario Matematico della Universita di Padova, 143: 113-134,
2020
(ISI)
Academic year of acceptance:
2020-2021
Abstract:
In this article, we study the multiplicity of weak solutions to the boundary value problem
{-Gαu = g(x, y, u) + f(x, y, u) in Ω, u = 0 on ∂Ω,
whereΩ is a bounded domain with smooth boundary in \ (N ≥ 2), α ∈
, g(x, y, ξ), f(x, y, ξ) are Carathéodory functions and Gα is the Grushin operator. We use the lower bounds of eigenvalues and an abstract theory on sign-changing solutions.