2 papers
math.AP2019
Existence of positive solutions for a Brezis--Nirenberg type problem involving an inverse operator
Pablo Álvarez-Caudevilla, Eduardo Colorado, Alejandro Ortega
This paper is devoted to the existence of positive solutions for a problem related to a fourth-order differential equation involving a nonlinear term depending on a second order di…
math.AP2016
A higher order system of some coupled nonlinear Schrödinger and Korteweg-de Vries equations
P. Alvarez-Caudevilla, E. Colorado, R. Fabelo
We prove existence and multiplicity of bound and ground state solutions, under appropriate conditions on the parameters, for a bi-harmonic stationary system of coupled nonlinear Sc…