نتایج جستجو برای: p_2

تعداد نتایج: 127  

Journal: :ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE 2012

Journal: :Advanced Nonlinear Studies 2021

The aim of this paper is investigating the existence one or more weak solutions coupled quasilinear elliptic system gradient type \[ (P)\qquad \left\{ \begin{array}{ll} - {\rm div} (A(x, u)\vert\nabla u\vert^{p_1 -2} \nabla u) + \frac{1}{p_1}A_u (x, u\vert^{p_1} = G_u(x, u, v) &\hbox{ in $\Omega$,}\\[5pt] (B(x, v)\vert\nabla v\vert^{p_2 +\frac{1}{p_2}B_v(x, v\vert^{p_2} G_v\left(x, v\right) u v...

Journal: :Acta Mathematica Hungarica 2022

The purpose of this paper is to investigate the following invariance equation involving two 2-variable generalized Bajraktarević means, i.e., we aim solve functional $$f^{-1}\Bigl(\frac{p_1(x)f(x) +p_2(y)f(y)}{p_1(x)+p_2(y)}\Bigr)+g^{-1}\Bigl(\frac{q_1(x)g(x) +q_2(y)g(y)}{q_1(x)+q_2(y)}\Bigr)=x + y \ (x,y\in I),$$ where I a nonempty open real interval and $$f,g \colon \to\mathbb{R}$$ are contin...

Journal: :JTAM (Jurnal Teori dan Aplikasi Matematika) 2023

Graph theory is a branch of algebra that growing rapidly both in concept and application studies. This graph can be used chemistry, transportation, cryptographic problems, coding theory, design communication network, etc. There currently bridge between graphs algebra, especially an algebraic structures, namely algebra. One researchs on formed by prime ring elements or called over R. The commuta...

Journal: :Electronic Journal of Combinatorics 2021

Let $t>0$ be a real number and $G$ graph. We say is $t$-tough if for every cutset $S$ of $G$, the ratio $|S|$ to components $G-S$ at least $t$. Determining toughness an NP-hard problem arbitrary graphs. The Toughness Conjecture Chv\'atal, stating that there exists constant $t_0$ such $t_0$-tough graph with three vertices hamiltonian, still open in general. A called $(P_2\cup P_3)$-free it do...

2011
Steven Heilman Aukosh Jagannath Assaf Naor

It is shown that every measurable partition ${A_1,..., A_k}$ of $\mathbb{R}^3$ satisfies $$\sum_{i=1}^k||\int_{A_i} xe^{-\frac12||x||_2^2}dx||_2^2\le 9\pi^2.\qquad(*)$$ Let ${P_1,P_2,P_3}$ be the partition of $\mathbb{R}^2$ into $120^\circ$ sectors centered at the origin. The bound is sharp, with equality holding if $A_i=P_i\times \mathbb{R}$ for $i\in {1,2,3}$ and $A_i=\emptyset$ for $i\in \{4...

Journal: :Mathematische Annalen 2022

We study bilinear rough singular integral operators $$\mathcal {L}_{\Omega }$$ associated with a function $$\Omega $$ on the sphere $$\mathbb {S}^{2n-1}$$ . In recent work of Grafakos et al. (Math Ann 376:431–455, 2020), they showed that is bounded from $$L^2\times L^2$$ to $$L^1$$ , provided \in L^q(\mathbb {S}^{2n-1})$$ for $$4/3<q\le \infty mean value zero. this paper, we provide generalizat...

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