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On the regularization of mixed complementarity problems
(2000-12-01)
A variational inequality problem (VIP) satisfying a constraint qualification can be reduced to a mixed complementarity problem (MCP). Monotonicity of the VIP implies that the MCP is also monotone. Introducing regularizing ...
Some existence results of bounded variation solutions to 1-biharmonic problems
(2018-07-15)
In this paper we establish some existence results to a fourth-order quasilinear elliptic equation involving the 1-biharmonic operator, formally given by Δ1 2u=Δ([Formula presented]). We consider different geometrical ...
Solutions of a nonlinear Schrodinger equation
(Amer Inst Mathematical SciencesSpringfieldEUA, 2002)
Existence of a BV solution for a mean curvature equation
(2021-10-25)
We prove the existence of a bounded variation solution for a quasilinear elliptic problem involving the mean curvature operator and a sublinear nonlinearity. We obtain such a solution as the limit of the solutions of another ...
Campos Direccionales
(2017-08-31)
Una vez que conocemos los diferentes tipos de solución
que puede tener una Ecuación Diferencial, procederemos
a obtener dicha solución aún sin resolver la Ecuación
planteada.
Existence and concentration of solutions for a class of biharmonic equations
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2013-08-02)
Some superlinear fourth order elliptic equations are considered. A family of solutions is proved to exist and to concentrate at a point in the limit. The proof relies on variational methods and makes use of a weak version ...
Positive solutions to a singular Neumann problem
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2009)
Radial sign-changing solutions to biharmonic nonlinear Schrodinger equations
(Springer, 2015-01-31)
In this work we obtain three radial solutions of a biharmonic stationary Schrodinger equation, one being positive, one negative, and one sign changing. The dual decomposition method is used to split the natural second-order ...
Nodal solutions of an NLS equation concentrating on lower dimensional spheres
(2015-12-26)
In this work we deal with the following nonlinear Schrödinger equation: {−<sup>ϵ2</sup>Δu+V(x)u=f(u)in <sup>RN</sup>u∈<sup>H1</sup>(<sup>RN</sup>),(Formula presented.) where N≥3, f is a subcritical power-type nonlinearity ...