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Stationary sign changing solutions for an inhomogeneous nonlocal problemINDIANA UNIVERSITY MATHEMATICS JOURNALINDIANA U MATH J
(INDIANA UNIV MATH JOURNAL, 2016)
Existence and non-existence of solutions to problems involving conformal operators on sphere and hemisphere
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2020-02-21)
Neste trabalho, estudamos a existência e não existência de soluções não constantes
para a seguinte equação
A2su = f(u) in M,
∂u
∂ν = 0 on ∂M,
e o sistema
A2su1 = f1(u1, u2) in M,
A2su2 = f2(u1, u2) in M,
∂u1
∂ν ...
Existência e multiplicidade de soluções para diferentes classes de equações de Choquard
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2023-04-12)
In the present work we deal with two classes of Choquard Elliptic Equations with unbounded and sign-changing potentials, considering Fractional and Kirchhoff operators and nonlinearities with exponential critical growth. ...
Stabilization of a light bullet in a layered Kerr medium with sign-changing nonlinearity
(Amer Physical Soc, 2004-09-01)
Using the numerical solution of the nonlinear Schrodinger equation and a variational method, it is shown that (3+1)-dimensional spatiotemporal optical solitons, known as light bullets, can be stabilized in a layered Kerr ...
Stabilization of a light bullet in a layered Kerr medium with sign-changing nonlinearity
(2004-01-01)
Using the numerical solution of the nonlinear Schrödinger equation and a variational method, it is shown that [Formula presented]-dimensional spatiotemporal optical solitons, known as light bullets, can be stabilized in a ...
Nodal Solutions to Quasilinear Elliptic Problems Involving the 1-Laplacian Operator via Variational and Approximation Methods
(Indiana Univ Math Journal, 2022-01-01)
In this work we use two different methods to get nodal solutions to quasilinear elliptic problems involving the 1-Laplacian operator. In the first one, we develop an approach based on a minimization of the energy functional ...
Strictly positive solutions for one dimensional nonlinear elliptic problems
(2014)
We study the existence and nonexistence of strictly positive solutions for the elliptic problems -- in a bounded open interval, with zero boundary conditions, where -- is a strongly uniformly elliptic differential operator, ...
Exact Solutions of a Chaplygin Gas in an Anisotropic Space-Time of Petrov D
(2017)
This document obtains two exact solutions to the anisotropic spacetime of Petrov D by using the model of a perfect fluid. These solutions represent a scenario of a universe in which the pressure P and the energetic density ...