Minimal energy problems for strongly singular Riesz kernels [PDF]
We study minimal energy problems for strongly singular Riesz kernels on a manifold. Based on the spatial energy of harmonic double layer potentials, we are motivated to formulate the natural regularization of such problems by switching to Hadamard's ...
Harbrecht, Helmut +2 more
core +1 more source
Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces [PDF]
∗ The final version of this paper was sent to the editor when the author was supported by an ARC Small Grant of Dr. E. Tarafdar.Existence theorems of generalized variational inequalities and generalized complementarity problems are obtained in ...
Chowdhury, Mohammad
core +1 more source
Equivalent Formulations of Optimal Control Problems with Maximum Cost and Applications. [PDF]
Molina E, Rapaport A, Ramírez H.
europepmc +1 more source
Ground states for a fractional scalar field problem with critical growth
We prove the existence of a ground state solution for the following fractional scalar field equation $(-\Delta)^{s} u= g(u)$ in $\mathbb{R}^{N}$ where $s\in (0,1), N> 2s$,$ (-\Delta)^{s}$ is the fractional Laplacian, and $g\in C^{1, \beta}(\mathbb{R ...
Ambrosio, Vincenzo
core
Duality in nondifferentiable minimax fractional programming with
In this article, we are concerned with a nondifferentiable minimax fractional programming problem. We derive the sufficient condition for an optimal solution to the problem and then establish weak, strong, and strict converse duality theorems for the ...
Kailey N +3 more
doaj
Mountain pass solutions for the fractional Berestycki-Lions problem
We investigate the existence of least energy solutions and infinitely many solutions for the following nonlinear fractional equation (-\Delta)^{s} u = g(u) \mbox{ in } \mathbb{R}^{N}, where $s\in (0,1)$, $N\geq 2$, $(-\Delta)^{s}$ is the fractional ...
Ambrosio, Vincenzo
core
Simultaneous and semi-alternating projection algorithms for solving split equality problems. [PDF]
Dong QL, Jiang D.
europepmc +1 more source
Multiobjective fractional programming involving right upper-Dini-derivative functions [PDF]
Ahmad, Izhar
core +1 more source
An Energy Minimization Approach to Twinning with Variable Volume Fraction. [PDF]
Conti S, Kohn RV, Misiats O.
europepmc +1 more source

