Results 11 to 20 of about 134 (108)
Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance [PDF]
Electronic Journal of Differential Equations, 2019 In this article, we study a pseudo-differential inclusion driven by a nonlocal anisotropic operator and a Clarke generalized subdifferential of a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. We prove
Silvia Frassu +2 more
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Optimality and scalarization of robust approximate solutions for semi-infinite vector equilibrium problems [PDF]
Journal of Inequalities and ApplicationsThis paper investigates the optimality conditions and scalarization theorems for robust approximate solutions to semi-infinite vector equilibrium problems with data uncertainty in the constraints.
Shan Cai, Xiaoping Li
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Dirichlet μ-Parametric Differential Problem with Multivalued Reaction Term [PDF]
MathematicsWe study a Dirichlet μ-parametric differential problem driven by a variable competing exponent operator, given by the sum of a negative p-Laplace differential operator and a positive q-Laplace differential operator, with a multivalued reaction term in ...
Mina Ghasemi +2 more
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On the topological properties of the generalized Clarke subdifferential [PDF]
Miskolc Mathematical Notes, 2008 Lahrech, S.
openaire +5 more sources
Weak solutions to the generalized Navier–Stokes equations with mixed boundary conditions and implicit obstacle constraints [PDF]
, 2023 This paper is concerned with the investigation of a generalized Navier-Stokes equation for non-Newtonian fluids of Bingham-type (GNSE, for short) involving a multivalued and nonmonotone slip boundary condition formulated by the generalized Clarke ...
Zeng S., Nguyen V. T., Cen J., Vetro C.
core +1 more source
Brittle membranes in finite elasticity
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 103, Issue 11, November 2023., 2023 This work is devoted to the variational derivation of a reduced model for brittle membranes in finite elasticity. The main mathematical tools we develop for our analysis are: (i) a new density result in GSBVp$GSBV^{p}$ of functions satisfying a maximal‐rank constraint on the subgradients, which can be approximated by C1‐local immersions on regular ...
Stefano Almi +2 more
wiley +1 more source
Optimal allocations with α‐MaxMin utilities, Choquet expected utilities, and prospect theory
Theoretical Economics, Volume 18, Issue 3, Page 993-1022, July 2023., 2023 The analysis of optimal risk sharing has been thus far largely restricted to nonexpected utility models with concave utility functions, where concavity is an expression of ambiguity aversion and/or risk aversion. This paper extends the analysis to α‐maxmin expected utility, Choquet expected utility, and cumulative prospect theory, which accommodate ...
Patrick Beißner, Jan Werner
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Abstract and Applied Analysis, Volume 2022, Issue 1, 2022., 2022 In this paper, we establish a generalization of the Galewski‐Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces. Moreover, we derive, under suitable conditions, a series of results on the existence, uniqueness, and possible continuity of global ...
Guy Degla +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 Let X and Y be Banach spaces and Ω⊆X. Let f:Ω⟶Y be a single valued function which is nonsmooth. Suppose that F:X⇉2Y is a set‐valued mapping which has closed graph. In the present paper, we study the extended Newton‐type method for solving the nonsmooth generalized equation 0 ∈ f(x) + F(x) and analyze its semilocal and local convergence under the ...
M. Z. Khaton +2 more
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Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper aims at studying optimality conditions and duality theorems of an approximate quasi weakly efficient solution for a class of nonsmooth vector optimization problems (VOP). First, a necessary optimality condition to the problem (VOP) is established by using the Clarke subdifferential.
Wenjing Li, Guolin Yu, S. K. Mishra
wiley +1 more source