Results 41 to 50 of about 182 (54)

Minimal energy problems for strongly singular Riesz kernels [PDF]

open access: yes, 2015
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]

open access: yes, 1998
∗ 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

Ground states for a fractional scalar field problem with critical growth

open access: yes, 2016
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 B-(p, r)-invexity

open access: yesJournal of Inequalities and Applications, 2011
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

open access: yes, 2017
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  

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