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In this paper, we study the existence of compactly supported solutions for the Schrödinger equations with indefinite potentialswhere, 1&lt; p &lt;2,  0&lt; q &lt; p −1, andchange 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.].

Multiple solutions with compact support for a quasilinear Schrödinger equation with sign-changing potentials