Results 81 to 90 of about 1,973 (103)

On existence and multiplicity of solutions for a biharmonic problem with weights via Ricceri's theorem

open access: yesDemonstratio 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

Anisotropic adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$

open access: yesAdvanced Nonlinear Studies
In this paper, we mainly extend the classical Adams’ inequality to its anisotropic type. By using the rearrangement argument, we establish best constants for anisotropic Adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$ .
Zhang Tao   +3 more
doaj   +1 more source

Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions

open access: yesDemonstratio Mathematica
We introduce a novel framework for embedding anisotropic variable exponent Sobolev spaces into spaces of anisotropic variable exponent Hölder-continuous functions within rectangular domains.
Eddine Nabil Chems, Repovš Dušan D.
doaj   +1 more source

An embedding norm and the Lindqvist trigonometric functions

open access: yesElectronic 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  

Sobolev's embedding on time scales. [PDF]

open access: yesJ Inequal Appl, 2018
Ahmad N   +3 more
europepmc   +1 more source

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