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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.FA2022
A bridge between Vector Bundle Theory and Nonlinear Spectral Theory
Julián López-Gómez, Juan Carlos Sampedro
This paper establishes some hidden connections between the theory of generalized algebraic multiplicities, the intersection index of algebraic varieties, and the notion of orientab…