Zobrazeno 1 - 10
of 146
pro vyhledávání: '"López-Gómez Julian"'
Autor:
López-Gómez Julian, Omari Pierpaolo
Publikováno v:
Advanced Nonlinear Studies, Vol 19, Iss 3, Pp 437-473 (2019)
This paper investigates the topological structure of the set of the positive solutions of the one-dimensional quasilinear indefinite Neumann problem
Externí odkaz:
https://doaj.org/article/ff72b285b1a34110bb17af02022ef973
In this paper the existence of solutions, $(\lambda,u)$, of the problem $$-\Delta u=\lambda u -a(x)|u|^{p-1}u \quad \hbox{in }\Omega, \qquad u=0 \quad \hbox{on}\;\;\partial\Omega,$$ is explored for $0 < p < 1$. When $p>1$, it is known that there is a
Externí odkaz:
http://arxiv.org/abs/2403.04396
In this paper we consider a superlinear one-dimensional elliptic boundary value problem that generalizes the one studied by Moore and Nehari in [43]. Specifically, we deal with piecewise-constant weight functions in front of the nonlinearity with an
Externí odkaz:
http://arxiv.org/abs/2402.19084
In this paper we find out some new blow-up estimates for the positive explosive solutions of a paradigmatic class of elliptic boundary value problems of superlinear indefinite type. These estimates are obtained by combining the scaling technique of G
Externí odkaz:
http://arxiv.org/abs/2402.01519
This paper analyzes the generalized spatially heterogeneous diffusive predator-prey model introduced by the authors in \cite{LGMH20}, whose interaction terms depend on a saturation coefficient $m(x)\gneq0$. As the amplitude of the saturation term, me
Externí odkaz:
http://arxiv.org/abs/2302.09684
This paper deals with the existence, multiplicity, minimal complexity and global structure of the subharmonic solutions to a class of planar Hamiltonian systems with periodic coefficients, being the classical predator-prey model of V. Volterra its mo
Externí odkaz:
http://arxiv.org/abs/2212.11280
In this paper, we ascertain the global $\lambda$-structure of the set of positive and negative solutions bifurcating from $u=0$ for the semilinear elliptic BVP \begin{equation*} \left\{\begin{array}{ll} -d\Delta u= \lambda\langle \mathfrak{a},\nabla
Externí odkaz:
http://arxiv.org/abs/2209.04749
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 $$ -(\phi(u'))'= \lambda u + a(t)g(u), \quad \lambda\in {\mathbb R}, $$ where $a(t)$
Externí odkaz:
http://arxiv.org/abs/2207.14583
Autor:
Lopez-Gomez, Julian, Omari, Pierpaolo
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. Then, exploiting this tool, some optimal regularity results recently esta
Externí odkaz:
http://arxiv.org/abs/2205.11936
Publikováno v:
In Nonlinear Analysis February 2025 251