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Mathématiques   > Accueil   > Avancées en Mathématiques Pures et Appliquées   > Numéro 4 (Septembre 2023)   > Article

Existence et multiplicité de solution pour l’équation α(x)-Kirchhoff à poids indéfinis

Existence and multiplicity of solutions for α(x)-Kirchhoff Equation with indefinite weights


Khaled Ben Ali
Faculty of Sciences Gabes
Tunisia

Khaled Kefi
Faculty of Sciences Tunis El Manar
Tunisia

Haikel Ouerghi
Jendouba university
Tunisia



Publié le 8 septembre 2023   DOI : 10.21494/ISTE.OP.2023.0999

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In this paper, we investigate the existence of at least three weak solutions for a class of nonlocal elliptic equations with Navier boundary value conditions. The proof of our result uses the basic theory and critical point theory of variable exponential Lebesgue Sobolev spaces. Moreover a generalization of Corollary 1.1 in [21] is obtained.

In this paper, we investigate the existence of at least three weak solutions for a class of nonlocal elliptic equations with Navier boundary value conditions. The proof of our result uses the basic theory and critical point theory of variable exponential Lebesgue Sobolev spaces. Moreover a generalization of Corollary 1.1 in [21] is obtained.

Leray-Lions type operator critical theorem generalized Sobolev space variable exponent

Leray-Lions type operator critical theorem generalized Sobolev space variable exponent