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Infinitely many solutions for a class of quasilinear Schrödinger equations involving sign-changing weight functions

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ABSTRACT Using a change of variables and the constrained critical point theory, we first prove the existence and multiplicity of solutions for a class of quasilinear Schrödinger equations. Next, we… Click to show full abstract

ABSTRACT Using a change of variables and the constrained critical point theory, we first prove the existence and multiplicity of solutions for a class of quasilinear Schrödinger equations. Next, we consider a quasilinear equation related to the superfluid film in plasma physics with a sign-changing weight function. Using a new natural constraint, we establish the existence of infinitely many solutions for the equation.

Keywords: dinger equations; class quasilinear; solutions class; sign changing; quasilinear schr; schr dinger

Journal Title: Applicable Analysis
Year Published: 2019

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