T hree Solutions For A (p(x, .), q(x, .))—Kirchhof Type Elliptic System in General Fractional Sobolev Space With Variable Exponents
Keywords:
Elliptic systems, General fractional Sobolev spaces, Nonlocal problem, General fractional p(x, .)- Laplacian, Kirchhoff type Problems, Three Critical Points Theorem.Abstract
In this work, we introduce the general weighted fractional Sobolev spaces with variable exponents , ( , ) , ( ) s p x y K Wω and we prove their continuous and compact embeddings into weighted Lebesgue spaces with variable exponent (.)( ) Lγ ω . Moreover, we consider a class of fractional elliptic systems involving general (p(x,.), q(x,.))—Laplacian operators. Our main tool is based on the Three Critical Points Theorem introduced by B. Ricceri and on the theory of fractional Sobolev spaces with variable exponents.
Downloads
Downloads
Published
Issue
Section
License
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.
