Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient

The goal of this article is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Dirichlet boundary condition. This equation a convection term and thereaction term is not required to satisfy global growth...

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Main Author:	Yunru Bai
Format:	Article
Language:	English
Published:	Texas State University 2018-05-01
Series:	Electronic Journal of Differential Equations
Subjects:	Nonhomogeneous p-Laplacian operator nonlinear regularity Dirichlet boundary condition convection term truncation Leray-Schauder alternative
Online Access:	http://ejde.math.txstate.edu/Volumes/2018/101/abstr.html

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spelling	doaj-90c67236eab645a7a54e489b3b6051462020-11-24T22:18:50ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-05-012018101,118Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradientYunru Bai0 Jagiellonian Univ., Krakow, Poland The goal of this article is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Dirichlet boundary condition. This equation a convection term and thereaction term is not required to satisfy global growth conditions. Our approach is based on the Leray-Schauder alternative principle, truncation and comparison approaches, and nonlinear regularity theory.http://ejde.math.txstate.edu/Volumes/2018/101/abstr.htmlNonhomogeneous p-Laplacian operatornonlinear regularityDirichlet boundary condition convection termtruncationLeray-Schauder alternative
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yunru Bai
spellingShingle	Yunru Bai Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient Electronic Journal of Differential Equations Nonhomogeneous p-Laplacian operator nonlinear regularity Dirichlet boundary condition convection term truncation Leray-Schauder alternative
author_facet	Yunru Bai
author_sort	Yunru Bai
title	Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient
title_short	Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient
title_full	Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient
title_fullStr	Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient
title_full_unstemmed	Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient
title_sort	existence of solutions to nonhomogeneous dirichlet problems with dependence on the gradient
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2018-05-01
description	The goal of this article is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Dirichlet boundary condition. This equation a convection term and thereaction term is not required to satisfy global growth conditions. Our approach is based on the Leray-Schauder alternative principle, truncation and comparison approaches, and nonlinear regularity theory.
topic	Nonhomogeneous p-Laplacian operator nonlinear regularity Dirichlet boundary condition convection term truncation Leray-Schauder alternative
url	http://ejde.math.txstate.edu/Volumes/2018/101/abstr.html
work_keys_str_mv	AT yunrubai existenceofsolutionstononhomogeneousdirichletproblemswithdependenceonthegradient
_version_	1725781335854809088

Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient

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