ABSTRACT
In this paper, we study the existence of compactly supported solutions for the Schrödinger equations with indefinite potentials
where
, 1<p<2, 0<q<p−1, and
change sign in
. Firstly, we establish the existence of infinitely many weak solution. Next, we study the compactness of support of classical solutions for the above equation. This paper is a continuation of the recent work established by [Bedoui N, Ounaies H. Qualitative properties and support compactness of solutions for quasilinear Schrödinger equation with sign changing potentials. Nonlinear Anal. 2020;198:111843.].
Disclosure statement
No potential conflict of interest was reported by the author(s).