2 papers
math.AP2019
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…
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…