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

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


Khaled Ben Ali
Faculty of Sciences Gabes
Tunisia

Khaled Kefi
Faculty of Sciences Tunis El Manar
Tunisia

Haikel Ouerghi
Jendouba university
Tunisia



Published on 7 February 2022   DOI :

Abstract

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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