Results 41 to 50 of about 1,283,435 (290)
Existence and nonexistence of solutions for sublinear equations on exterior domains
Electronic Journal of Differential Equations, 2017 In this article we study radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius R>0, $B_{R}$, centered at the origin in ${\mathbb R}^{N}$ with u=0 on $\partial B_{R}$ where f is odd with f0 on $(\beta, \infty)$, $f(u)\sim u^
Joseph A. Iaia
doaj
Hessian equations on exterior domain
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cao, Xu, Bao, Jiguang
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Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding
FEBS Letters, EarlyView.In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança +2 more
wiley +1 more source
Constancy of Functions via a Complement to Ekeland Variational Principle
MathematicsThis paper establishes new criteria for the constancy of real-valued functions defined on general Banach spaces and on exterior domains in Rn. The main analytical tool is a complement to Ekeland’s variational principle, while several auxiliary lemmas ...
Filippo Cammaroto
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Leucine‐rich glioma inactivated 1 (LGI1) is a ganglioside‐binding protein
FEBS Letters, EarlyView.Neuronal hyperexcitability associated with a decrease/absence of the extracellular protein LGI1 has been suggested to be primarily due to the downregulation of Kv1 channel expression. The molecular mechanisms underlying this decrease have not yet been elucidated.
Kévin Debreux +7 more
wiley +1 more source
Existence of solutions for sublinear equations on exterior domains
Electronic Journal of Differential Equations, 2017 In this article we prove the existence of an infinite number of radial solutions of $\Delta u + K(r)f(u)= 0$, one with exactly n zeros for each nonnegative integer n on the exterior of the ball of radius R>0, $B_{R}$, centered at the origin in ...
Joseph A. Iaia
doaj
Mixed Boundary Value Problems for the Elasticity System in Exterior Domains
Mathematical and Computational Applications, 2019 We study the properties of solutions of the mixed Dirichlet−Robin and Neumann−Robin problems for the linear system of elasticity theory in the exterior of a compact set and the asymptotic behavior of solutions of these problems at infinity ...
Hovik A. Matevossian
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On the Poisson equation in exterior domains
Constructive Mathematical Analysis, 2022 We construct a solution of the Poisson equation in exterior domains $\Omega \subset \mathbb R^n,\;n \ge 2,$ in homogeneous Lebesgue spaces $L^{2,q}(\Omega),;1 < q <\infty,$ with methods of potential theory and integral equations. We investigate the corresponding null spaces and prove that its dimensions is equal to $n+1$ independent of $q$
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Molecular Oncology, EarlyView.Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq +8 more
wiley +1 more source
Electronic Journal of Qualitative Theory of Differential EquationsWe are concerned with the radial solutions of the Dirichlet problem $-\Delta u=K(|x|)f(u)$ on the exterior of the ball of radius $R>0$ centered at the origin in $\mathbb{R}^N \text{ with } N\geq 3$ where $f$ is superlinear at $\infty$ and has a ...
Narayan Aryal, Joseph Iaia
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