Results 91 to 100 of about 2,147 (138)

Duality of capacities and Sobolev extendability in the plane. [PDF]

Complex Analysis Synerg, 2021
Zhang YR.
europepmc   +1 more source

A counterexample for Improved Sobolev Inequalities over the 2-adic group

, 2010
On the framework of the 2-adic group Z_2, we study a Sobolev-like inequality where we estimate the L^2 norm by a geometric mean of the BV norm and the Besov space B(-1,\infty,\infty) norm.
Chamorro, Diego
core   +1 more source

Weighted Hardy-Adams inequality on unit ball of any even dimension

Advances in Nonlinear Analysis
In this study, we obtain the weighted Hardy-Adams inequality of any even dimension n≥4n\ge 4. Namely, for u∈C0∞(Bn)u\in {C}_{0}^{\infty }\left({{\mathbb{B}}}^{n}) with ∫Bn∣∇n2u∣2dx−∏k=1n⁄2(2k−1)2∫Bnu2(1−∣x∣2)ndx≤1,\mathop{\int }\limits_{{{\mathbb{B}}}^{n}
Wang Xumin
doaj   +1 more source

Nonexistence and existence of solutions for a supercritical p-Laplacian elliptic problem

Advanced Nonlinear Studies
In this paper, we obtain a general supercritical Sobolev inequality in W0,rad1,p(B) ${W}_{0,rad}^{1, p}\left(B\right)$ , where B is the unit ball in RN ${\mathbb{R}}^{N}$ .
Liu Yanjun, Li Yu, Chen Yuan
doaj   +1 more source

An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2022
Buccheri S, Orsina L, Ponce AC.
europepmc   +1 more source

Global existence and decay estimates of the classical solution to the compressible Navier-Stokes-Smoluchowski equations in ℝ3

Advances in Nonlinear Analysis
The compressible Navier-Stokes-Smoluchowski equations under investigation concern the behavior of the mixture of fluid and particles at a macroscopic scale. We devote to the existence of the global classical solution near the stationary solution based on
Tong Leilei
doaj   +1 more source

An embedding norm and the Lindqvist trigonometric functions

Electronic Journal of Differential Equations, 2002
We shall calculate the operator norm $|T|_p$ of the Hardy operator $Tf = int_0^x f $, where $1le ple infty$. This operator is related to the Sobolev embedding operator from $W^{1,p}(0,1)/mathbb{C}$ into $W^p(0,1)/mathbb{C}$.
Christer Bennewitz, Yoshimi Saito
doaj  

Existence of ground states to quasi-linear Schrödinger equations with critical exponential growth involving different potentials

Advanced Nonlinear Studies
The purpose of this paper is three-fold. First, we establish singular Trudinger–Moser inequalities with less restrictive constraint:(0.1)supu∈H1(R2),∫R2(|∇u|2+V(x)u2)dx≤1∫R2e4π1−β2u2−1|x ...
Zhang Caifeng, Zhu Maochun
doaj   +1 more source

Double phase anisotropic variational problems involving critical growth

Advances in Nonlinear Analysis
In this study, we investigate some existence results for double phase anisotropic variational problems involving critical growth. We first establish a Lions-type concentration-compactness principle and its variant at infinity for the solution space ...
Ho Ky, Kim Yun-Ho, Zhang Chao
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On existence and multiplicity of solutions for a biharmonic problem with weights via Ricceri's theorem

Demonstratio Mathematica
In this work, we consider a special nondegenerate equation with two weights. We investigate multiplicity result of this biharmonic equation. Mainly, our purpose is to obtain this result using an alternative Ricceri’s theorem.
Unal Cihan
doaj   +1 more source