Existence of solutions for p(x)-Kirchhoff type problems with non-smooth potentials

Existence of solutions for p(x)-Kirchhoff type problems with non-smooth potentials

We consider a class of p(x)-Kirchhoff type problem with a subdifferential term and a discontinuous perturbation. Assuming the existence of an ordered pair of appropriately defined upper and lower solutions, by the method of lower-upper solutions, penalization techniques, truncations, and res...

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Main Authors: Ziqing Yuan, Lihong Huang
Format: Article
Language:English
Published: Texas State University 2015-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Extremal solutions
fixed point
p(x)-Kirchhoff type problem
upper and lower solutions
Online Access:http://ejde.math.txstate.edu/Volumes/2015/193/abstr.html
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spelling doaj-b5e84135faa94a8c966b019b2511f89a2020-11-24T22:42:43ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-07-012015193,118Existence of solutions for p(x)-Kirchhoff type problems with non-smooth potentialsZiqing Yuan0Lihong Huang1 Hunan Univ., Changsha, China Hunan Univ., Changsha, China We consider a class of p(x)-Kirchhoff type problem with a subdifferential term and a discontinuous perturbation. Assuming the existence of an ordered pair of appropriately defined upper and lower solutions, by the method of lower-upper solutions, penalization techniques, truncations, and results from nonlinear and multivalued analysis, we show the existence of solutions, and of extremal solutions in the interval defined by the lower and upper solution.http://ejde.math.txstate.edu/Volumes/2015/193/abstr.htmlExtremal solutionsfixed pointp(x)-Kirchhoff type problemupper and lower solutions
collection DOAJ
language English
format Article
sources DOAJ
author Ziqing Yuan
Lihong Huang
spellingShingle Ziqing Yuan
Lihong Huang
Existence of solutions for p(x)-Kirchhoff type problems with non-smooth potentials
Electronic Journal of Differential Equations
Extremal solutions
fixed point
p(x)-Kirchhoff type problem
upper and lower solutions
author_facet Ziqing Yuan
Lihong Huang
author_sort Ziqing Yuan
title Existence of solutions for p(x)-Kirchhoff type problems with non-smooth potentials
title_short Existence of solutions for p(x)-Kirchhoff type problems with non-smooth potentials
title_full Existence of solutions for p(x)-Kirchhoff type problems with non-smooth potentials
title_fullStr Existence of solutions for p(x)-Kirchhoff type problems with non-smooth potentials
title_full_unstemmed Existence of solutions for p(x)-Kirchhoff type problems with non-smooth potentials
title_sort existence of solutions for p(x)-kirchhoff type problems with non-smooth potentials
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2015-07-01
description We consider a class of p(x)-Kirchhoff type problem with a subdifferential term and a discontinuous perturbation. Assuming the existence of an ordered pair of appropriately defined upper and lower solutions, by the method of lower-upper solutions, penalization techniques, truncations, and results from nonlinear and multivalued analysis, we show the existence of solutions, and of extremal solutions in the interval defined by the lower and upper solution.
topic Extremal solutions
fixed point
p(x)-Kirchhoff type problem
upper and lower solutions
url http://ejde.math.txstate.edu/Volumes/2015/193/abstr.html
work_keys_str_mv AT ziqingyuan existenceofsolutionsforpxkirchhofftypeproblemswithnonsmoothpotentials
AT lihonghuang existenceofsolutionsforpxkirchhofftypeproblemswithnonsmoothpotentials
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