Abstract

This paper is considered the existence of positive solutions for a class of generalized quasilinear Schrödinger equations with nonlocal term in RN which have appeared from plasma physics, as well as high-power ultrashort laser in matter. We use a charge of variables and obtain the existence of solutions via minimization argument.

Highlights

  • This paper is considered the existence of positive solutions for a class of generalized quasilinear Schrödinger equations with nonlocal term in N which have appeared from plasma physics, as well as high-power ultrashort laser in matter

  • We use a charge of variables and obtain the existence of solutions via minimization argument

  • We consider investigating the existence of solutions for the following generalized quasilinear Schrödinger equation with nonlocal term

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Summary

Introduction

This paper is considered the existence of positive solutions for a class of generalized quasilinear Schrödinger equations with nonlocal term in N which have appeared from plasma physics, as well as high-power ultrashort laser in matter. Quasilinear Schrödinger Equation, Minimization, Implicit Function Theorem We consider investigating the existence of solutions for the following generalized quasilinear Schrödinger equation with nonlocal term

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