Existence Solution for a Non-smooth System
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Kashan
2025-03-01
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| Series: | Mathematics Interdisciplinary Research |
| Subjects: | |
| Online Access: | https://mir.kashanu.ac.ir/article_114734_a95acca152039be490ba7bcbeec9999b.pdf |
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| Summary: | 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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| ISSN: | 2476-4965 |