Results 11 to 20 of about 113 (22)
Operators with Polynomial Coefficients and Generalized Gelfand-Shilov Classes [PDF]
, 2012 2010 Mathematics Subject Classification: Primary 35S05, 35J60; Secondary 35A20, 35B08, 35B40.We study the problem of the global regularity for linear partial differential operators with polynomial coefficients.
Calvo, Daniela +2 more
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On the H\'enon-Lane-Emden conjecture [PDF]
, 2011 We consider Liouville-type theorems for the following H\'{e}non-Lane-Emden system \hfill -\Delta u&=& |x|^{a}v^p \text{in} \mathbb{R}^N, \hfill -\Delta v&=& |x|^{b}u^q \text{in} \mathbb{R}^N, when $pq>1$, $p,q,a,b\ge0$.
In R +3 more
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A Liouville theorem for ancient solutions to a semilinear heat equation and its elliptic counterpart
, 2020 We establish the nonexistence of nontrivial ancient solutions to the nonlinear heat equation $u_t=\Delta u+|u|^{p-1}u$ which are smaller in absolute value than the self-similar radial singular steady state, provided that the exponent $p$ is strictly ...
Sourdis, Christos
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On blow-up conditions for nonlinear higher order evolution inequalities
, 2023 We obtain exact conditions for global weak solutions of the problem $$ \left\{ \begin{aligned} & u_t - \sum_{|\alpha| = m} \partial^\alpha a_\alpha (x, t, u) \ge f (|u|) \quad \mbox{in } {\mathbb R}_+^{n+1} = {\mathbb R}^n ...
Kon'kov, A. A., Shishkov, A. E.
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Interior estimates of derivatives and a Liouville type theorem for Parabolic $k$-Hessian equations
, 2022 In this paper, we establish the gradient and Pogorelov estimates for $k$-convex-monotone solutions to parabolic $k$-Hessian equations of the form $-u_t\sigma_k(\lambda(D^2u))=\psi(x,t,u)$.
Bao, J. G. +3 more
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Existence of positive solutions to semilinear elliptic systems with supercritical growth [PDF]
, 2016 We establish the existence of positive entire solutions to cooperative systems of semilinear elliptic equations involving nonlinearities with critical and supercritical growth.
Li, Congming, Villavert, John
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Hybrid hydrostatic/ball bearings for LH2 and LO2 service in turbopumps were studied as a means of improving speed and life capabilities. Four hybrid bearing configurations were designed with emphasis on achieving maximum stiffness and damping.
Butner, M. F., Murphy, B. T.
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Temporospatial induction of homeodomain gene cut dictates natural lineage reprogramming. [PDF]
Elife, 2018 Xu K, Liu X, Wang Y, Wong C, Song Y.
europepmc +1 more source
Cell surface nucleolin facilitates enterovirus 71 binding and infection. [PDF]
J Virol, 2015 Su PY +10 more
europepmc +1 more source
On global solutions of quasilinear second-order elliptic inequalities
We consider the inequality $$ - \operatorname{div} A (x, \nabla u) \ge f (u) \quad \mbox{in } {\mathbb R}^n, $$ where $n \ge 2$ and $A$ is a Caratheodory function such that $$ C_1 |\xi|^p \le \xi A (x, \xi) \quad \mbox{and ...
Kon'kov, A. A., Shishkov, A. E.
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