Results 31 to 40 of about 1,426,786 (167)
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
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ABSTRACT This paper investigates the existence and non‐existence and uniqueness of global solutions for certain parameter values c$c$ in a new class of generalized fractional p$p$‐Kirchhoff equations in the whole space. Using the Pohozaev and Nehari identities for an auxiliary problem, together with the fractional Gagliardo–Nirenberg inequality and the
J. Vanterler da C. Sousa +2 more
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Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic case
We study the nonlinear elliptic system of Lane–Emden type -Δu = sgn(v) |v|p-1 in Ω, -Δv = f(x,u) in Ω, u = v = 0 on ∂Ω, where Ω is an open bounded subset of ℝN, N ≥ 2, p > 1 and f : Ω × ℝ → ℝ is a Carathéodory function satisfying suitable growth ...
Barile Sara, Salvatore Addolorata
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Integrating Bayesian optimization and intelligent feature selection with XGBoost, this model drastically improves maximum wind speed prediction accuracy by 19%–66%. It delivers reliable forecasts for wind energy planning and typhoon risk management.
Xiaoyan Huang +4 more
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In this article we consider the differential inclusion $$displaylines{ -hbox{div}(| abla u|^{p(x)-2} abla u)in partial F(x,u) quadhbox{in }Omega,cr u=0 quad hbox{on }partial Omega }$$ which involves the $p(x)$-Laplacian.
Guowei Dai
doaj
In this paper, we study the following fractional Schrödinger–Poisson system with superlinear terms {(−Δ)su+V(x)u+K(x)ϕu=f(x,u),x∈R3,(−Δ)tϕ=K(x)u2,x∈R3, $$ \textstyle\begin{cases} (-\Delta )^{s}u+V(x)u+K(x)\phi u=f(x,u), & x \in \mathbb{R}^{3 ...
Yan He, Lei Jing
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Detecting Thunderstorm‐Related High‐Energy Phenomena in Weak Signals
Abstract Gamma‐ray glows (GRGs) are high‐energy events associated with thunderstorms, characterized by an enhancement of the high‐energy background radiation lasting from a few seconds to several minutes. They are typically detected near their sources by balloons, aircraft, mountain‐based observatories, or at sea level in regions where thunderstorms ...
Y. Hazem +3 more
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(N,q)$(N,q)$‐Laplacian equations with one‐sided critical exponential growth
Abstract We prove the existence of two non‐trivial weak solutions for a class of quasilinear, non‐homogeneous elliptic problems driven by the (N,q)$(N,q)$‐Laplacian with one‐sided critical exponential growth in a bounded domain Ω⊂RN$\Omega \subset \mathbb {R}^{N}$. The first solution is obtained as a local minimizer of the associated energy functional;
Elisandra Gloss +2 more
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Multiple solutions for Schrodinger-Maxwell systems with unbounded and decaying radial potentials
This article concerns the nonlinear Schrodinger-Maxwell system $$\displaylines{ -\Delta u +V(|x|)u +Q(|x|)\phi u=Q(|x|) f(u),\quad \hbox{in } \mathbb{R}^3\cr -\Delta \phi =Q(|x|) u^{2}, \quad \hbox{in } \mathbb{R}^3 }$$ where V and Q are unbounded ...
Fangfang Liao +2 more
doaj
Multiple Solutions for a Critical Steklov Kirchhoff Equation
In the present work, we study some existing results related to a new class of Steklov p(x)-Kirchhoff problems with critical exponents. More precisely, we propose and prove some properties of the associated energy functional. In the first existence result,
Maryam Ahmad Alyami, Abdeljabbar Ghanmi
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