Results 81 to 90 of about 163,164 (293)
Existence of solutions to hemivariational inequalities involving the \(p(x)\)-biharmonic operator
Electronic Journal of Differential Equations, 2015 Summary: This article concerns the existence of solutions to boundary-value problems involving the \(p(x)\)-biharmonic operator. Our technical approach is the variational-hemivariational inequality on bounded domains by using the mountain pass theorem and the critical point theory for Motreanu-Panagiotopoulos type functionals.
Mohsen Alimohammady, Fariba Fattahi
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Multiple solutions for fourth order elliptic problems with p(x)-biharmonic operators
Opuscula Mathematica, 2016 Summary: We study the multiplicity of weak solutions to the following fourth order nonlinear elliptic problem with a \(p(x)\)-biharmonic operator \[ \begin{cases} \Delta^2_{p(x)}u+a(x)| u|^{p(x)-2}u=\lambda f(x,u) &\quad \text{in }\Omega,\\ u=\Delta u=0 &\quad \text{on }\partial\Omega,\end{cases} \] where \(\Omega\) is a smooth bounded domain in ...
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Spectral Theory of the Hermite Operator on
, 2014 We prove that the minimal operator and the maximal operator of the Hermite operator are the same on Lp(ℝn) , 4 / 3
X. Duan
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Molecular Oncology, EarlyView.Aptamers are used both therapeutically and as targeting agents in cancer treatment. We developed an aptamer‐targeted PLGA–TRAIL nanosystem that exhibited superior therapeutic efficacy in NOD/SCID breast cancer models. This nanosystem represents a novel biotechnological drug candidate for suppressing resistance development in breast cancer.
Gulen Melike Demirbolat +8 more
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Existence of Solutions for a Robin Problem Involving the p(x)-Laplace Operator
Abstract and Applied Analysis, 2016 In this article we study the nonlinear Robin boundary-value problem -Δp(x)u=f(x,u) in Ω, |∇u|px-2(∂u/∂ν)+β(x)up(x)-2u=0 on ∂Ω. Using the variational method, under appropriate assumptions on f, we obtain results on existence and multiplicity of ...
Mostafa Allaoui
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Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
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Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source
Boletim da Sociedade Paranaense de Matemática, 2017 The aim of this paper is to establish the existence and multiplicity of solutions for a class of nonlocal problem involving the p(x)-biharmonic operator. Our technical approach is based on direct variational method and the theory of variable exponent Sobolev spaces.
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BOUNDEDNESS of the DUNKL–HAUSDORFF OPERATOR in LEBESGUE SPACES
, 2021 In this paper, the Lvp(R)-boundedness of the Dunkl–Hausdorff operator Hα,φ f (x) = ZR ||tφ(|2αt+)|2 f ( xt ) dt has been characterized and for a certain type of weight v, the operator norm kHα,φkLvp(R)→Lvp(R) has been obtained. This covers several of the
Jain S., Fiorenza A., Jain P.
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Molecular Oncology, EarlyView.EXOSC10, an essential nuclear RNA exosome‐associated 3′‐5′ exoribonuclease, is inhibited by the anticancer drug 5‐fluorouracil (5‐FU), and EXOSC10 depletion increases 5‐FU sensitivity. The colon‐cancer variant EXOSC10S402T, located in a proteolysis motif, is stable and nuclear but nonfunctional in vivo.
Radhika Sain +10 more
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