Abstract
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.].
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