Results 41 to 50 of about 163,164 (293)
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Jennane Mohsine, Alaoui My Driss Morchid
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In this paper, we study the existence of infinitely many weak solutions for problems involving both p(x)-Laplacian and p(x)- Biharmonic operators. In the proof of our main result, we use variational methods and the known symmetric mountain pass lemma.
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Suppose that the kernel K satisfies a certain Hörmander type condition. Let b be a function satisfying Dαb∈BMO(Rn) $D^{\alpha}b\in BMO(\mathbb{R}^{n})$ for |α|=m $\vert \alpha \vert =m$, and let Tb={Tϵb}ϵ>0 $T^{b}=\{T^{b}_{\epsilon}\}_{\epsilon>0}$ be a ...
Yinhong Xia
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A saddle point type solution for a system of operator equations
Let $\Omega \subset \mathbb{R}^{n}$, $n>1$ and let $p,q\geq 2$. We consider the system of nonlinear Dirichlet problems \begin{equation*} \left\lbrace \begin{aligned} (Au)(x)& =N_{u}^{\prime }(x,u(x),v(x)), &&x\in\Omega, \\ -(Bv)(x)& =N_{v}^{\prime }(x,u ...
Piotr Kowalski
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On a class of a boundary value problems involving the p(x)-Biharmonic operator
Our aim is to establish the existence of weak solution for a class of Robin problems involving fourth order operator. The nonlinearity is superlinear but does not satisfy the usual Ambrosetti-Rabinowitz condition.The proof is made with and without variational structure.
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ABSTRACT Background Osteosarcoma (OS) and Ewing sarcoma (EWS) are the most common primary bone cancers in children, but acute thrombosis is poorly characterized in this population. Our study evaluated the rates of venous thromboembolism (VTE) and associated risk factors in pediatric patients with bone sarcomas treated over a 10‐year period encompassing
Sarah Kappa +8 more
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Second order regularity for the p (x )-Laplace operator
This is the pre-peer reviewed version of the following article: Challal, S. and Lyaghfouri, A. (2011), Second order regularity for the p(x)-Laplace operator. Math.
Challal, S +3 more
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Reciprocal control of viral infection and phosphoinositide dynamics
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator
We consider the generalized shift operator, associated with the Dunkl operator Λα(f)(x)=(d/dx)f(x)+((2α+1)/x)((f(x)-f(-x))/2), α>-1/2.
Emin V. Guliyev, Yagub Y. Mammadov
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Existence results for a nonlinear elliptic transmission problem of $p(x)$-Kirchhoff type
In this article, we establish the existence of weak solutions for a nonlinear transmission problem involving nonlocal coefficients of $p(x)$-Kirchhoff type in two different domains, which are connected by a nonlinear transmission condition at their ...
Eugenio Cabanillas Lapa +3 more
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