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TRIPLE JUNCTION SOLUTIONS FOR A SINGULARLY PERTURBED NEUMANN PROBLEM
(SIAM PUBLICATIONS, 2011)
We consider the singularly perturbed Neumann problem epsilon(2)Delta u - u + up = 0, u > 0 in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega, where p > 1 and Omega is a smooth and bounded ...
A Family of Stationary Solutions to the Euler Equations and Generalized Solutions
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
Almost and asymptotically almost periodic solutions of abstract retarded functional difference equations in phase space
(2011)
We establish the existence of bounded, almost periodic solutions and asymptotically almost periodic solutions for functional difference equations with infinite delay on abstract phase space. An application to Volterra ...
Knotted solutions, from electromagnetism to fluid dynamics
(World Scientific Publ Co Pte Ltd, 2017-11-30)
Knotted solutions to electromagnetism and fluid dynamics are investigated, based on relations we find between the two subjects. We can write fluid dynamics in electromagnetism language, but only on an initial surface, or ...
Knotted solutions, from electromagnetism to fluid dynamics
(2017-11-30)
Knotted solutions to electromagnetism and fluid dynamics are investigated, based on relations we find between the two subjects. We can write fluid dynamics in electromagnetism language, but only on an initial surface, or ...
Boundary concentration phenomena for a singularly perturbed elliptic problem
(John Wiley & Sons IncHobokenEUA, 2002)
Maximal solution of the Liouville equation in doubly connected domains
(Academic Press Inc., 2019)
In this paper we consider the Liouville equation Δu+λ2eu=0 with Dirichlet boundary conditions in a two dimensional, doubly connected domain Ω. We show that there exists a simple, closed curve γ⊂Ω such that for a sequence ...
Qualitative properties of multi-bubble solutions for nonlinear elliptic equations involving critical exponents
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2016)
The objective of this paper is to obtain qualitative characteristics of multi-bubble solutions to the Lane-Emden-Fowler equations with slightly subcritical exponents given any dimension n >= 3. By examining the linearized ...
Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
(Springer, 2016-08-01)
In this note we study the existence of global solutions for a class of impulsive abstract differential equations with non-instantaneous impulses. Specifically, we establish the existence of mild solutions on and the existence ...
On the Boundedness of Solutions of Discontinuous Differential Equations
(Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, 2021-09-06)
By using the notion of Carathéodory solution to differential equations, the present work studies the boundedness of solutions of discontinuous differential equations. For these discontinuous systems determined by discontinuous ...