Positive solution to quasilinear Schrodinger equations via Orlicz space framework
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Date
2022-04-29
Authors
Sun, Rui
Liu, Duchao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns the existence of solutions for the generalized quasilinear Schrodinger equation -div(g2(u) ∇u) + g(u)g′(u)|∇u|2 + V(x)u = ƒ(x, u), x ∈ ℝN. We obtain a positive solution by using a change of variables and a minimax theorem in an Orlicz space framework.
Description
Keywords
Quasilinear Schrödinger equation, Orlicz space, Change of variables
Citation
Sun, R., & Liu, D. (2022). Positive solution to quasilinear Schrodinger equations via Orlicz space framework. <i>Electronic Journal of Differential Equations, 2022</i>(35), pp. 1-13.
Rights
Attribution 4.0 International