Existence and upper bound results for a class of nonlinear nonhomogeneous obstacle problems
Publication details: New Delhi Springer 2024Edition: Vol.55(1), MarDescription: 274-297pSubject(s): Online resources: In: Indian journal of pure and applied mathematicsSummary: This paper is devoted to the study of a new class of nonlinear obstacle problems involving nonhomogeneous partial differential operators and mixed boundary conditions. We provide the existence and uniqueness of the solution for the obstacle problem via applying a surjectivity theorem for set-valued mappings formulated by the sum of a set-valued pseudomonotone operator and a maximal monotone set-valued operator. Moreover, some upper bounds to the obstacle problem are established by using a regularized gap function through different norms.| Item type | Current library | Status | Barcode | |
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School of Engineering & Technology Archieval Section | Not for loan | 2024-1565 |
This paper is devoted to the study of a new class of nonlinear obstacle problems involving nonhomogeneous partial differential operators and mixed boundary conditions. We provide the existence and uniqueness of the solution for the obstacle problem via applying a surjectivity theorem for set-valued mappings formulated by the sum of a set-valued pseudomonotone operator and a maximal monotone set-valued operator. Moreover, some upper bounds to the obstacle problem are established by using a regularized gap function through different norms.
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