Existence Solution for a Non-smooth System
نویسندگان
1 Department of Mathematics, University of Mazandaran, Babolsar, I. R. IRAN
2 Department of Mathematics, University of Mazandaran, Babolsar, I. R. IRAN
3 Melli Central Bank, Honarestan Street, Ali Abad, I. R. IRAN
doi
10.22052/mir.2024.254303.1458چکیده
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.
