2 citations · 2 across the 4 of their papers we have counts for
6 papers · 1 filter
Positive solutions for semilinear fractional elliptic problems involving an inverse fractional operator
Pablo Álvarez-Caudevilla, Eduardo Colorado, Alejandro Ortega
This paper is devoted to the study of the existence of positive solutions for a problem related to a higher order fractional differential equation involving a nonlinear term depend…
Homotopy regularization for a high-order parabolic equation
Pablo Álvarez-Caudevilla, Alejandro Ortega
In this work we study the solvability of the Cauchy Problem for a quasilinear degenerate high-order parabolic equation \begin{equation*} \left\{ \begin{tabular}{lcl} $u_t=(-1)^{m-1…
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…
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…
Towards optimal regularity for the fourth-order thin film equation in $\re^N$: Graveleau-type focusing self-similarity
Pablo Alvarez-Caudevilla, Jonathan D. Evans, Victor A. Galaktionov
An approach to some "optimal" (more precisely, non-improvable) regularity of solutions of the thin film equation u_{t} = -\nabla \cdot(|u|^{n} \nabla \D u) in \ren \times \re_+, u(…
Local Bifurcation-Branching Analysis of Global and "Blow-up" Patterns for a Fourth-Order Thin Film Equation
P. Álvarez-Caudevilla, V. A. Galaktionov
The quasilinear fourth-order thin film equation in is shown to admit infinite countable families of global and blow-up similarity solutions, which are originated in the limit…