3 papers
math.AP2022
Optimal regularity results for the one-dimensional prescribed curvature equation via the strong maximum principle
Julian Lopez-Gomez, Pierpaolo Omari
A refined version of the strong maximum principle is proven for a class of second order ordinary differential equations with possibly discontinuous non-monotone nonlinearities. The…
math.AP2020
Nodal solutions of weighted indefinite problems
Martin Fencl, Julián López-Gómez
This paper analyzes the structure of the set of nodal solutions of a class of one-dimensional superlinear indefinite boundary values problems with an indefinite weight functions in…
math.AP2020
Global bifurcation diagrams of positive solutions for a class of 1-D superlinear indefinite problems
Martin Fencl, Julián López-Gómez
This paper analyzes the structure of the set of positive solutions of a class of one-dimensional superlinear indefinite bvp's. It is a paradigm of how mathematical analysis aids th…