Existence‎ Solution for‎ ‎a Non-smooth System

Document Type : Original Scientific Paper

Authors

1 ‎Department of Mathematics, ‎University of Mazandaran, ‎Babolsar‎, ‎I‎. ‎R‎. ‎IRAN

2 ‎Melli Central Bank,‎ ‎Honarestan Street, ‎Ali Abad‎, ‎I‎. ‎R‎. ‎IRAN

Abstract

‎A variational method for a mixed boundary value problem in mathematical physics is considered‎. ‎Using two-field Lagrange multipliers‎, ‎we would investigate a variational formulation containing a mixed variational problem which is equivalent with a problem of saddle point type‎. ‎With a keen focus on two-field Lagrange multipliers‎, ‎we introduce a variational formulation comprising a mixed variational problem that seamlessly aligns with a saddle point problem (Problem 3})‎. Consequently, the distinctive solvability of the weak formulation we propose is intricately governed by the principles of saddle point theory, marking a significant advancement in our understanding of mathematical physics under challenging conditions.

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Main Subjects

References

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Mathematics Interdisciplinary Research
Volume 10, Issue 1
March 2025
Pages 95-109

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