Results 61 to 70 of about 440,485 (323)
Advanced Science, EarlyView.Seasonal cold adaptation is vital for insect survival, yet the molecular mechanisms linking diapause to mitochondrial resilience remain largely unresolved. We identify ascaroside C9 (asc‐C9) as a key endocrine signal that enhances diapause survival during cold stress by activating the AKHR–PGC1α–UCP4 axis, thereby driving cold‐induced lipolysis and ...
Jiao Zhou +14 more
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Open MathematicsIn this article, we investigate the following Schrödinger equation: −Δu−μ∣x∣2u=g(u)inRN,-\Delta u-\frac{\mu }{{| x| }^{2}}u=g\left(u)\hspace{1em}{\rm{in}}\hspace{0.33em}{{\mathbb{R}}}^{N}, where N≥3N\ge 3, μ∣x∣2\frac{\mu }{{| x| }^{2}} is called the ...
Zhou Shan
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Positive solutions of Schrodinger-Poisson systems with Hardy potential and indefinite nonlinearity
Electronic Journal of Differential Equations, 2020 In this article, we study the nonlinear Schrodinger-Poisson system $$\displaylines{ -\Delta u+u-\mu\frac{u}{|x|^2}+l(x) \phi u=k(x)|u|^{p-2}u \quad x\in\mathbb{R}^3, \cr -\Delta\phi=l(x)u^2 \quad x\in\mathbb{R}^3, }$$ where $k\in C(\mathbb{R}^3 ...
Yongyi Lan, Biyun Tang, Xian Hu
doaj
Combined effects of the Hardy potential and lower order terms in fractional Laplacian equations
Boundary Value Problems, 2018 In this paper we consider the existence and regularity of solutions to the following nonlocal Dirichlet problems: {(−Δ)su−λu|x|2s+up=f(x),x∈Ω,u>0,x∈Ω,u=0,x∈RN∖Ω, $$ \textstyle\begin{cases} (-\Delta)^{s} u-\lambda\frac{u}{|x|^{2s}}+u^{p}=f(x), &x\in\Omega,
Yingyuan Mi, Shuibo Huang, Canyun Huang
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Some Inequalities of Hardy Type Related to Witten–Laplace Operator on Smooth Metric Measure Spaces
Mathematics, 2022 A complete Riemannian manifold equipped with some potential function and an invariant conformal measure is referred to as a complete smooth metric measure space.
Yanlin Li +3 more
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Critical problems with Hardy potential on Stratified Lie Groups
Advances in Differential Equations, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
On the best possible remaining term in the Hardy Inequality
, 2007 We give a necessary and sufficient condition on a radially symmetric potential $V$ on $\Omega$ that makes it an admissible candidate for an improved Hardy inequality of the following form: \begin{equation}\label{gen-hardy.0} \hbox{$\int_{\Omega}|\nabla
Ghoussoub, Nassif, Moradifam, Amir
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Comparative Single‐Cell Transcriptomic Atlas Reveals the Genetic Regulation of Reproductive Traits
Advanced Science, EarlyView.A cross‐species single‐cell transcriptomic atlas of reproductive and central nervous system tissues from sheep and humans reveals conserved cellular programs and regulatory networks that regulated fertility. Integration with GWAS for sheep lifetime average litter size identifies UNC5–SLIT–BMP signaling as a core pathway coordinating neuroendocrine ...
Bingru Zhao +8 more
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Multiple Solutions for Double Phase Problems with Hardy Type Potential
Mathematics, 2021 In this paper, we are concerned with the singular elliptic problems driven by the double phase operator and and Dirichlet boundary conditions. In view of the variational approach, we establish the existence of at least one nontrivial solution and two ...
Chun-Bo Lian, Bei-Lei Zhang, Bin Ge
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Hardy-Sobolev Equations on Compact Riemannian Manifolds
, 2014 Let (M,g) be a compact Riemannien Manifold of dimension n > 2, x_0 in M a fix and singular point and s in (0,2). We let 2*(s) = 2(n-s)/(n-2) be the critical Hardy-Sobolev exponent.
Jaber, Hassan
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