Results 131 to 140 of about 4,999,006 (239)

Concentration phenomena for fourth-order elliptic equations with critical exponent

Electronic Journal of Differential Equations, 2004
We consider the nonlinear equation $$ Delta ^2u= u^{frac{n+4}{n-4}}-varepsilon u $$ with $u$ greater than 0 in $Omega$ and $u=Delta u=0$ on $partialOmega$. Where $Omega$ is a smooth bounded domain in $mathbb{R}^n$, $ngeq 9$, and $varepsilon$ is a small
Mokhless Hammami
doaj  

Critical exponent for a damped wave system with fractional integral

Electronic Journal of Differential Equations, 2015
We shall present the critical exponent $$ F(p, q,\alpha):=\max\big\{\alpha+\frac{(\alpha+1)(p+1)}{pq-1}, \alpha+\frac{(\alpha+1)(q+1)}{pq-1}\big\}-\frac{1}{2} $$ for the Cauchy problem $$\displaylines{ u_{tt}-u_{xx}+u_t=J_{0|t}^{\alpha}(|v|^{p}),
Mijing Wu, Shengjia Li, Liqing Lu
doaj  

A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations

, 2017
M. D’Abbicco, M. R. Ebert
semanticscholar   +1 more source

Critical exponents at the Nishimori point

Journal of Statistical Mechanics: Theory and Experiment
Abstract The Nishimori point of the random bond Ising model is a prototype of renormalization group fixed points with strong disorder. We show that the exact correlation length and crossover critical exponents at this point can be identified in two and three spatial dimensions starting from properties of the Nishimori line. These are the
openaire   +2 more sources

Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent

Electronic Journal of Differential Equations, 2011
We prove the existence and multiplicity of solutions for a nonhomogeneous elliptic equation involving decaying cylindrical potential and critical exponent.
Mohammed Bouchekif, Mohammed E. O. El Mokhtar   +1 more
doaj  

The cortical critical power law balances energy and information in an optimal fashion. [PDF]

Proc Natl Acad Sci U S A
Tatsukawa T, Teramae JN.
europepmc   +1 more source

Enhanced long wavelength Mermin-Wagner-Hohenberg fluctuations in active crystals and glasses. [PDF]

Nat Commun
Dey S, Bhattacharya A, Karmakar S.
europepmc   +1 more source

Critical behavior of Fredenhagen-Marcu string order parameters at topological phase transitions with emergent higher-form symmetries. [PDF]

npj Quantum Inf
Xu WT, Pollmann F, Knap M.
europepmc   +1 more source

A novel 2D MTMHM based key generation for enhanced security in medical image communication. [PDF]

Sci Rep
Devi CS, Amirtharajan R.
europepmc   +1 more source

Finite-Size Corrections from the Subleading Magnetic Scaling Field for the Ising and Potts Models in Two Dimensions. [PDF]

Entropy (Basel)
Xu Y, Salas J, Deng Y.
europepmc   +1 more source