On a necessary condition in the calculus of variations in Sobolev spaces with variable exponent

• Autorzy: Elhoussine Azroul , Meryem El Lekhlifi , Badr Lahmi , Abdelfattah Touzani
• Języki publikacji: EN

Abstrakty

EN

We prove an approximation theorem in generalized Sobolev spaces with variable exponent $W^{1,p(·)}(Ω)$ and we give an application of this approximation result to a necessary condition in the calculus of variations.

Kategorie tematyczne

• 49K21: Problems involving relations other than differential equations
• 91G80: Financial applications of other theories (stochastic control, calculus of variations, PDE, SPDE, dynamical systems)
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2014
• Tom: 41
• Numer: 2-3
• Strony: 165-174

Daty

wydano

2014

Twórcy

autor

Elhoussine Azroul

• LAMA, Faculté des Sciences Dhar El Mahraz, Université Sidi Mohamed Ben Abdellah, BP 1796 Atlas, Fès, Morocco

autor

Meryem El Lekhlifi

• Laboratoire d'Analyse Mathématique et Applications (LAMA), Faculté des Sciences Dhar El Mahraz, Université Sidi Mohamed Ben Abdellah, BP 1796 Atlas, Fès, Moroccco

autor

Badr Lahmi

• Laboratoire d'Analyse Mathématique et Applications (LAMA), Faculté des Sciences Dhar El Mahraz, Université Sidi Mohamed Ben Abdellah, BP 1796 Atlas, Fès, Morocco

autor

Abdelfattah Touzani

• Laboratoire d'Analyse Mathématique et Applications (LAMA), Faculté des Sciences Dhar El Mahraz, Université Sidi Mohamed Ben Abdellah, BP 1796 Atlas, Fès, Morocco

Identyfikatory

DOI

10.4064/am41-2-4