Existence Results for a Class of the Quasilinear Elliptic Equations with the Logarithmic Nonlinearity

In this paper, the nonlinear quasilinear elliptic problem with the logarithmic nonlinearity −div∇up−2∇u=axφpulogu+hxψpu in Ω⊂Rn was studied. By means of a double perturbation argument and Nehari manifold, the authors obtain the existence results.

Bibliographic Details
Main Authors:	Zhoujin Cui, Zisen Mao, Wen Zong, Xiaorong Zhang, Zuodong Yang
Format:	Article
Language:	English
Published:	Hindawi Limited 2020-01-01
Series:	Journal of Function Spaces
Online Access:	http://dx.doi.org/10.1155/2020/6545918

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spelling	doaj-b1833c3bec974d2a853496b2765401762020-12-28T01:30:43ZengHindawi LimitedJournal of Function Spaces2314-88882020-01-01202010.1155/2020/6545918Existence Results for a Class of the Quasilinear Elliptic Equations with the Logarithmic NonlinearityZhoujin Cui0Zisen Mao1Wen Zong2Xiaorong Zhang3Zuodong Yang4School of Economics and ManagementDepartment of Basic CoursesSchool of Business AdministrationSchool of Economics and ManagementSchool of Teacher EducationIn this paper, the nonlinear quasilinear elliptic problem with the logarithmic nonlinearity −div∇up−2∇u=axφpulogu+hxψpu in Ω⊂Rn was studied. By means of a double perturbation argument and Nehari manifold, the authors obtain the existence results.http://dx.doi.org/10.1155/2020/6545918
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zhoujin Cui Zisen Mao Wen Zong Xiaorong Zhang Zuodong Yang
spellingShingle	Zhoujin Cui Zisen Mao Wen Zong Xiaorong Zhang Zuodong Yang Existence Results for a Class of the Quasilinear Elliptic Equations with the Logarithmic Nonlinearity Journal of Function Spaces
author_facet	Zhoujin Cui Zisen Mao Wen Zong Xiaorong Zhang Zuodong Yang
author_sort	Zhoujin Cui
title	Existence Results for a Class of the Quasilinear Elliptic Equations with the Logarithmic Nonlinearity
title_short	Existence Results for a Class of the Quasilinear Elliptic Equations with the Logarithmic Nonlinearity
title_full	Existence Results for a Class of the Quasilinear Elliptic Equations with the Logarithmic Nonlinearity
title_fullStr	Existence Results for a Class of the Quasilinear Elliptic Equations with the Logarithmic Nonlinearity
title_full_unstemmed	Existence Results for a Class of the Quasilinear Elliptic Equations with the Logarithmic Nonlinearity
title_sort	existence results for a class of the quasilinear elliptic equations with the logarithmic nonlinearity
publisher	Hindawi Limited
series	Journal of Function Spaces
issn	2314-8888
publishDate	2020-01-01
description	In this paper, the nonlinear quasilinear elliptic problem with the logarithmic nonlinearity −div∇up−2∇u=axφpulogu+hxψpu in Ω⊂Rn was studied. By means of a double perturbation argument and Nehari manifold, the authors obtain the existence results.
url	http://dx.doi.org/10.1155/2020/6545918
work_keys_str_mv	AT zhoujincui existenceresultsforaclassofthequasilinearellipticequationswiththelogarithmicnonlinearity AT zisenmao existenceresultsforaclassofthequasilinearellipticequationswiththelogarithmicnonlinearity AT wenzong existenceresultsforaclassofthequasilinearellipticequationswiththelogarithmicnonlinearity AT xiaorongzhang existenceresultsforaclassofthequasilinearellipticequationswiththelogarithmicnonlinearity AT zuodongyang existenceresultsforaclassofthequasilinearellipticequationswiththelogarithmicnonlinearity
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Existence Results for a Class of the Quasilinear Elliptic Equations with the Logarithmic Nonlinearity

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