Solutions to degenerative generalized quasilinear Schrödinger equations involving vanishing potentials and critical exponent
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Published:2023-07-17
Issue:
Volume:
Page:1-28
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ISSN:1230-3429
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Container-title:Topological Methods in Nonlinear Analysis
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language:
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Short-container-title:TMNA
Author:
Huang Yong,Li Zhouxin,Yuan Xiang
Abstract
In this paper, a class of degenerative quasilinear Schrödinger equations with
vanishing potentials and critical Sobolev exponents is considered.
The main operator involved in these equations is not strictly elliptic. Under suitable conditions, the existence of nontrivial solutions to the equations is obtained
by employing variational methods and the decay rate of the solutions is established.
Publisher
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University
Subject
Applied Mathematics,Analysis