On the existence of a weak solution for some singular p⁢(x)p(x)-biharmonic equation with Navier boundary conditions

In the present paper, we investigate the existence of solutions for the following inhomogeneous singular equation involving the p⁢(x){p(x)}-biharmonic operator:

Bibliographic Details
Main Authors: Kefi Khaled, Saoudi Kamel
Format: Article
Language:English
Published: De Gruyter 2018-03-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2016-0260
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author Kefi Khaled
Saoudi Kamel
author_facet Kefi Khaled
Saoudi Kamel
author_sort Kefi Khaled
collection DOAJ
description In the present paper, we investigate the existence of solutions for the following inhomogeneous singular equation involving the p⁢(x){p(x)}-biharmonic operator:
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spelling doaj.art-9bf103f9361149888b1ab2b90f929bbd2022-12-21T23:30:40ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2018-03-01811171118310.1515/anona-2016-0260anona-2016-0260On the existence of a weak solution for some singular p⁢(x)p(x)-biharmonic equation with Navier boundary conditionsKefi Khaled0Saoudi Kamel1Community College of Rafha, Northern Border University, 73222Arar, Kingdom of Saudi Arabia; and Mathematics Department, Faculty of Sciences Tunis El Manar, 1060 Tunis, TunisiaCollege of Sciences at Dammam, University of Imam Abdulrahman Bin Faisal, 31441Dammam, Kingdom of Saudi ArabiaIn the present paper, we investigate the existence of solutions for the following inhomogeneous singular equation involving the p⁢(x){p(x)}-biharmonic operator:https://doi.org/10.1515/anona-2016-0260navier boundary conditionsingular problemvariational methodsexistence resultsgeneralized lebesgue sobolev spaces35j20 35j60 35g30 35j35
spellingShingle Kefi Khaled
Saoudi Kamel
On the existence of a weak solution for some singular p⁢(x)p(x)-biharmonic equation with Navier boundary conditions
Advances in Nonlinear Analysis
navier boundary condition
singular problem
variational methods
existence results
generalized lebesgue sobolev spaces
35j20
35j60
35g30
35j35
title On the existence of a weak solution for some singular p⁢(x)p(x)-biharmonic equation with Navier boundary conditions
title_full On the existence of a weak solution for some singular p⁢(x)p(x)-biharmonic equation with Navier boundary conditions
title_fullStr On the existence of a weak solution for some singular p⁢(x)p(x)-biharmonic equation with Navier boundary conditions
title_full_unstemmed On the existence of a weak solution for some singular p⁢(x)p(x)-biharmonic equation with Navier boundary conditions
title_short On the existence of a weak solution for some singular p⁢(x)p(x)-biharmonic equation with Navier boundary conditions
title_sort on the existence of a weak solution for some singular p⁢ x p x biharmonic equation with navier boundary conditions
topic navier boundary condition
singular problem
variational methods
existence results
generalized lebesgue sobolev spaces
35j20
35j60
35g30
35j35
url https://doi.org/10.1515/anona-2016-0260
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