| Abstract: |
| We investigate anisotropic elliptic systems with variable exponents governed by Leray-Lions type operators acting both in the domain and on its boundary. Using variational methods and various tools from the variable exponent analysis, we address the weak solvability of such systems. We prove existence, uniqueness, and global regularity of weak solutions, and illustrate our framework through relevant examples. This is a joint work with Alejandro Velez-Santiago. |
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