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math.AP2025
Limiting behavior of principal eigenvalues and eigenfunctions for a class of elliptic operators with degenerate large advection
S. Cano-Casanova, J. López-Gómez, M. Molina-Meyer
In this paper we study, both numerically and analytically, the asymptotic behavior of the principal eigenfunction of \eqref{1.1}, normalized by \eqref{1.2}, as .…
math.AP2025
A proof of a conjecture on the multiplicity of positive solutions of an indefinite superlinear problem
Guglielmo Feltrin, Julián López-Gómez, Juan Carlos Sampedro
This paper solves in a positive manner a conjecture stated in 2000 by R. Gómez-Reñasco and J. López-Gómez regarding the multiplicity of positive solutions of a paradigmatic cla…