New nonlinear Picone identities with variable exponents and applications

Hichem Khelifi; Youssef El Hadfi

Commentationes Mathematicae Universitatis Carolinae (2023)

  • Volume: 64, Issue: 4, page 459-473
  • ISSN: 0010-2628

Abstract

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This paper introduces two novel nonlinear anisotropic Picone identities with variable exponents that expand upon the traditional identity used for the ordinary Laplace equation. Additionally, the research explores potential applications of these findings in anisotropic Sobolev spaces featuring variable exponents.

How to cite

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Khelifi, Hichem, and El Hadfi, Youssef. "New nonlinear Picone identities with variable exponents and applications." Commentationes Mathematicae Universitatis Carolinae 64.4 (2023): 459-473. <http://eudml.org/doc/299330>.

@article{Khelifi2023,
abstract = {This paper introduces two novel nonlinear anisotropic Picone identities with variable exponents that expand upon the traditional identity used for the ordinary Laplace equation. Additionally, the research explores potential applications of these findings in anisotropic Sobolev spaces featuring variable exponents.},
author = {Khelifi, Hichem, El Hadfi, Youssef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {anisotropic Picone identity; variable exponent},
language = {eng},
number = {4},
pages = {459-473},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {New nonlinear Picone identities with variable exponents and applications},
url = {http://eudml.org/doc/299330},
volume = {64},
year = {2023},
}

TY - JOUR
AU - Khelifi, Hichem
AU - El Hadfi, Youssef
TI - New nonlinear Picone identities with variable exponents and applications
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2023
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 64
IS - 4
SP - 459
EP - 473
AB - This paper introduces two novel nonlinear anisotropic Picone identities with variable exponents that expand upon the traditional identity used for the ordinary Laplace equation. Additionally, the research explores potential applications of these findings in anisotropic Sobolev spaces featuring variable exponents.
LA - eng
KW - anisotropic Picone identity; variable exponent
UR - http://eudml.org/doc/299330
ER -

References

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