Existence Results for Nonlinear Elliptic Equations with Leray–Lions Operators in Sobolev Spaces with Variable Exponents

Existence Results for Nonlinear Elliptic Equations with Leray–Lions Operators in Sobolev Spaces with Variable Exponents

This paper deals with the existence of a solution of a problem involving Leray–Lions type operators in Sobolev spaces with variable exponent. The proofs of our main results combine variational methods with energy estimates and Ekeland’s variational principle. This paper improves and generalizes prev...

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Veröffentlicht in:Mathematical Notes 2021-11, Vol.110 (5-6), p.830-841
Hauptverfasser: Al-Shomrani, M. Mosa, Salah, M. Ben Mohamed, Ghanmi, A., Kefi, K.
Format: Artikel
Sprache:eng
Schlagworte:
14/34
639/766/189
639/766/530
639/766/747
Elliptic functions
Mathematics
Mathematics and Statistics
Operators
Sobolev space
Variational methods
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Zusammenfassung:This paper deals with the existence of a solution of a problem involving Leray–Lions type operators in Sobolev spaces with variable exponent. The proofs of our main results combine variational methods with energy estimates and Ekeland’s variational principle. This paper improves and generalizes previous ones in literature, more precisely those of K. Kefi and V. Rãdulescu (Z. Angew. Math. Phys. 68, 80 (2017)) and M. M Boureanu (Discrete Contin. Dyn. Syst. Ser S, 12 (2) : 231-243 (2019)).
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434621110201