RT Journal Article
T1 Rich dynamics in planar systems with heterogeneous nonnegative weights
A1 López Gómez, Julián
A1 Muñoz Hernández, Eduardo
A1 Zanolin, Fabio
AB This paper studies the global structure of the set of nodal solutions of a generalized Sturm–Liouville boundary value problem associated to the quasilinear equation −(φ(u'))' = λu + a(t)g(u),   λ ∈ R, where a(t) is non-negative with some positive humps separated away by intervals of degeneracy where a ≡ 0. When φ(s) = s this equation includes a generalized prototype of a classical model going back to Moore and Nehari [35], 1959. This is the first paper where the general case when λ ∈ R has been addressed when a ≥ 0. The semilinear case with a  ≤ 0 has been recently treated by López-Gómez and Rabinowitz [28, 29, 30].
PB American Institute of Mathematical Sciences (AIMS)
SN 1534-0392
YR 2023
FD 2023
LK https://hdl.handle.net/20.500.14352/93485
UL https://hdl.handle.net/20.500.14352/93485
LA eng
NO Julián López-Gómez, Eduardo Muñoz-Hernández, Fabio Zanolin. Rich dynamics in planar systems with heterogeneous nonnegative weights. Communications on Pure and Applied Analysis, 2023, 22(4): 1043-1098. doi: 10.3934/cpaa.2023020 shu
NO Ministerio de Ciencia e Innovación (España)
DS Docta Complutense
RD 9 abr 2025