Results 31 to 40 of about 79 (79)
Optimal control for cooperative systems involving fractional Laplace operators
Journal of Inequalities and Applications, 2021 In this work, the elliptic 2 × 2 $2\times 2$ cooperative systems involving fractional Laplace operators are studied. Due to the nonlocality of the fractional Laplace operator, we reformulate the problem into a local problem by an extension problem. Then,
H. M. Serag +2 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 309-319, 2001., 2001 This paper deals with the finite element approximation of a class of variational inequalities (VI) and quasi‐variational inequalities (QVI) with the right‐hand side depending upon the solution. We prove that the approximation is optimally accurate in L∞ combining the Banach fixed point theorem with the standard uniform error estimates in linear VIs and
M. Boulbrachene +2 more
wiley +1 more source
Shape of extremal functions for weighted Sobolev-type inequalities
Advances in Nonlinear AnalysisWe study the shape of solutions to certain variational problems in Sobolev spaces with weights that are powers of ∣x∣| x| . In particular, we detect situations when the extremal functions lack symmetry properties such as radial symmetry and antisymmetry.
Brock Friedemann +3 more
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Reflected forward‐backward SDEs and obstacle problems with boundary conditions
International Journal of Stochastic Analysis, Volume 14, Issue 2, Page 113-138, 2001., 2001 In this paper we study a class of forward‐backward stochastic differential equations with reflecting boundary conditions (FBSDER for short). More precisely, we consider the case in which the forward component of the FBSDER is restricted to a fixed, convex region, and the backward component will stay, at each fixed time, in a convex region that may ...
Jin Ma, Jakša Cvitanić
wiley +1 more source
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 73-93, 2000., 2000 From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi‐equilibrium theorems. These quasi‐equilibrium theorems are applied to give simple and unified proofs of the known variational ...
Sehie Park
wiley +1 more source
Certain remarks on a class of evolution quasi‐variational inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 12, Page 851-855, 2000., 2000 We prove two existence theorems, one for evolution quasi‐variational inequalities and the other for a time‐dependent quasi‐variational inequality modeling the quasi‐static problem of elastoplasticity with combined kinetic‐isotropic hardening.
A. H. Siddiqi, Pammy Manchanda
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A class of nonlinear variational inequalities involving pseudomonotone operators
International Journal of Stochastic Analysis, Volume 13, Issue 1, Page 73-75, 2000., 2000 We present the solvability of a class of nonlinear variational inequalities involving pseudomonotone operators in a locally convex Hausdorff topological vector spaces setting. The obtained result generalizes similar variational inequality problems on monotone operators.
Ram U. Verma
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Local minimizers for the NLS equation with localized nonlinearity on noncompact metric graphs
Open MathematicsWe investigate the existence of local minimizers for the nonlinear Schrödinger (NLS) equation with localized nonlinearity on noncompact metric graphs. In the absence of ground states, we prove that normalized local minimizers of the NLS equation do exist
Li Xiaoguang
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Blow-up solutions to the Hartree-Fock type Schrödinger equation with the critical rotational speed
Advances in Nonlinear AnalysisIn this article, we are concerned with the existence, non-existence, and blow-up behavior of normalized ground state solutions for the mass critical Hartree-Fock type Schrödinger equation with rotation i∂tu=−Δu+2V(x)u+2ΩLzu−λu−bu∫RN∣u(y)∣2∣x−y∣2dy,(t,x ...
Tu Yuanyuan, Wang Jun
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Demonstratio Mathematica, 2019 We consider a new subgradient extragradient iterative algorithm with inertial extrapolation for approximating a common solution of variational inequality problems and fixed point problems of a multivalued demicontractive mapping in a real Hilbert space ...
Jolaoso Lateef Olakunle +3 more
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