2 papers
math.AP2025
Multiplicity of solutions for semilinear Robin problems involving sign-changing nonlinearities
José Carmona Tapia, Antonio J. MartÃnez Aparicio, Pedro J. MartÃnez-Aparicio
In this article, we investigate the existence and multiplicity of solutions to the Robin problem \begin{equation*} \begin{cases} -Îu = λf(u) & \text{in } Ω, \frac{\partial u}{\p…
math.AP2024
The Sattinger iteration method for 1-Laplace type problems and its application to concave-convex nonlinearities
Antonio J. MartÃnez Aparicio, Francescantonio Oliva, Francesco Petitta
In this paper we extend the classical sub-supersolution Sattinger iteration method to -Laplace type boundary value problems of the form \begin{equation*} \begin{cases} \displays…