Armenian Journal of Mathematics, 16(12)
2024; 1–10
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Implicit Elliptic Problems with p-Laplacian

Eugenio Cabanillas Lapa*, Jesus V. Luque Rivera

Received: 2024-12-02 · Published: 2024-11-29

© 2024 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Implicit Elliptic Problems with p-Laplacian
Authors
Eugenio Cabanillas Lapa, Jesus V. Luque Rivera
Source journal
Armenian Journal of Mathematics, 16(12)
Published
2024-11-29
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.1017/S0013091500021180

Abstract

In this research, we will study the existence of weak solutions for a class of implicit elliptic equations involving the pp-Laplace operator. Using a Krasnoselskii--Schaefer type theorem we establish our result, extending and complementing those obtained by R. Precup, 2020,  and Marino and Paratore, 2021.
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