Zobrazeno 1 - 10
of 139
pro vyhledávání: '"López-Gómez Julian"'
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
This paper establishes some hidden connections between the theory of generalized algebraic multiplicities, the intersection index of algebraic varieties, and the notion of orientability of vector bundles. The novel approach adopted in it facilitates
Externí odkaz:
http://arxiv.org/abs/2201.05949