一类带扰动项的拟线性薛定谔方程的多解性

Abstract

Abstract:

In this paper, we study the multiplicity of solutions for nonhomogeneous quasilinear Schrödinger equation with coercive potential. We obtain two different solutions by applying the Mountain Pass Theorem and Ekeland's Variational Principle. The results in this paper extend and complement previously known results to the quasilinear equations.

Key words: Quasilinear Schr?dinger equation, Nonhomogeneous, Mountain Pass Theorem, Ekeland's Variational Principle

CLC Number:

O177.91

Chen Mingchao, Xue Yanfang. Multiple Solutions for a Class of Quasilinear Schrödinger Equations with a Perturbed Term[J].Acta mathematica scientia,Series A, 2024, 44(2): 417-428.

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References

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Multiple Solutions for a Class of Quasilinear Schrödinger Equations with a Perturbed Term

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