Infinitely Many Solutions for Semilinear Strongly Degenerate Elliptic Differential Equations with Lack of Symmetry
Infinitely Many Solutions for Semilinear Strongly Degenerate Elliptic Differential Equations with Lack of Symmetry
Source title:
Acta Applicandae Mathematicae, 175: 3,
2021
(ISI)
Academic year of acceptance:
2021-2022
Abstract:
In this paper, we study the existence of multiple solutions for the boundary value problem
where ΩΩ is a bounded domain with smooth boundary in , where
is odd,
is a non-symmetric, perturbative term and ΔγΔγ is the strongly degenerate elliptic operator of the type
By using a perturbation method introduced by Bolle (J. Differ. Equ. 152:274-288, 1999), we prove the existence of multiple solutions in spite of the lack of symmetry of the problem.