On a differential equation involving a new kind of variable exponents

Aouaoui Sami: On a differential equation involving a new kind of variable exponents. (2022)

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Abstract

In this paper, we are concerned with some new first order differential equation defined on the whole real axis R. The principal part of the equation involves an operator with variable exponent p depending on the variable x ∈ R through the unknown solution while the nonlinear part involves the classical variable exponent p(x). Such kind of situation is very related to the presence of the variable exponent and has not been treated before. Our existence result of nontrivial solution cannot be reached using standard variational or topological methods of nonlinear analysis and some sophisticated arguments have to be employed.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2022
Number: 23
ISSN: 1417-3875
Number of Pages: 18
Language: English
Place of Publication: Szeged
DOI: 10.14232/ejqtde.2022.1.23
Uncontrolled Keywords: Differenciálegyenlet, Laplace-egyenlet
Additional Information: Bibliogr.: p. 16-18. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2022. May. 24. 09:28
Last Modified: 2022. May. 24. 09:28
URI: http://acta.bibl.u-szeged.hu/id/eprint/75838

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