A Kirchhoff p(x)-Biharmonic Problem Involving Singular Nonlinearities and Navier Boundary Conditions

Khaled Kefi; Kamel Saoudi; Mohammed Mosa AL-Shomrani

doi:10.4171/ZAA/1678

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A Kirchhoff p(x)-Biharmonic Problem Involving Singular Nonlinearities and Navier Boundary Conditions

Journal article

Peer reviewed

A Kirchhoff p(x)-Biharmonic Problem Involving Singular Nonlinearities and Navier Boundary Conditions

Khaled Kefi, Kamel Saoudi and Mohammed Mosa AL-Shomrani

Zeitschrift für Analysis und ihre Anwendungen, Vol.40(2), pp.167-182

01/01/2021

DOI: https://doi.org/10.4171/ZAA/1678

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

The aim of this work is to study the existence of weak solutions for a nonhomogeneous singular p(x)-Kirchhoff problem of the following form (P +/-lambda) {M(l)Delta(vertical bar Delta u vertical bar p(x)-2 Delta u) = a(x) u(-gamma(x)) +/- lambda u(q(x)-2)u, in Omega, Delta u = u = 0, on partial derivative Omega, by using variational techniques and monotonicity arguments combined with the theory of the generalized Lebesgue Sobolev spaces.

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Title: A Kirchhoff p(x)-Biharmonic Problem Involving Singular Nonlinearities and Navier Boundary Conditions
Creators - without role: Khaled Kefi - Tunis University
Kamel Saoudi - Imam Abdulrahman Bin Faisal University
Mohammed Mosa AL-Shomrani - King Abdulaziz University
Publication Details: Zeitschrift für Analysis und ihre Anwendungen, Vol.40(2), pp.167-182
Publisher: EUROPEAN MATHEMATICAL SOC-EMS
Number of pages: 16
Grant note: Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah
Identifiers: 9915942508331
Academic Unit: Imam Abdulrahman Bin Faisal University; King Abdulaziz University; Northern Borders University
Language: English
Resource Type: Journal article