Results 41 to 50 of about 1,588 (189)
On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in ℝN with the Schauder-Tychonoff fixed point theorem as the principal tool.
Yang Zuodong
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Existence of solutions for semilinear problems with prescribed number of zeros on exterior domains
In this article we prove the existence of an infinite number of radial solutions of $\Delta(u)+f(u)=0$ with prescribed number of zeros on the exterior of the ball of radius R>0 centered at the origin in $\mathbb {R}^N$ where f is odd with f0 on ...
Janak Joshi, Joseph Iaia
doaj
Quasilinear Parabolic Equations Associated with Semilinear Parabolic Equations
We formulate a quasilinear parabolic equation describing the behavior of the global-in-time solution to a semilinear parabolic equation. We study this equation in accordance with the blow-up and quenching patterns of the solution to the original ...
Katsuyuki Ishii +2 more
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Semilinear transformations [PDF]
In previous papers, nice trinomial equations were given for unramified coverings of the once punctured affine line in nonzero characteristic p p
openaire +2 more sources
Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders
ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot +2 more
wiley +1 more source
Abstract In this article, we investigate the existence and multiplicity of solutions to the Robin problem −Δu=λf(u)inΩ,∂u∂ν+γu=0on∂Ω,$$\begin{equation*} {\begin{cases} -\Delta u = \lambda f(u) & \text{in } \Omega,\\ \frac{\partial u}{\partial \nu } + \gamma u=0 & \text{on } \partial \Omega, \end{cases}} \end{equation*}$$where Ω⊂RN$\Omega \subset ...
José Carmona Tapia +2 more
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This article is part of the results of the thesis: Asymptotic behavior for semilinear wave equation with local damping in unbounded domains, in this paper we study the existence and uniqueness of smooth solution for the semilinear wave equation with ...
Alfonso Perez Salvatierra +1 more
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The N‐prime graph and the Subgroup Isomorphism Problem
Abstract We introduce a directed graph related to a group G$G$, which we call the N‐prime graph ΓN(G)$\Gamma _{\rm {N}}(G)$ of G$G$ and is a refinement of the classical Gruenberg–Kegel graph. The vertices of ΓN(G)$\Gamma _{\rm {N}}(G)$ are the primes p$p$ such that G$G$ has an element of order p$p$, and, for distinct vertices p$p$ and q$q$, the arc q→p$
Emanuele Pacifici +2 more
wiley +1 more source
Standing waves of nonlinear Schrödinger systems with all attractive forces
Abstract Since the pioneering work of Lin and Wei on nonlinear Schrödinger systems of n$n$ components with interaction forces aij$a_{ij}$ between the i$i$‐th and j$j$‐th components for 1⩽i,j⩽n$1\leqslant i,j\leqslant n$, there have been numerous further developments in many directions. However, even in the simplest case where all interaction forces are
Jaeyoung Byeon
wiley +1 more source

