Results 141 to 150 of about 232 (187)
On De Giorgi's conjecture and beyond. [PDF]
Proc Natl Acad Sci U S A, 2012 Del Pino M, Kowalczyk M, Wei J.
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Revealing new dynamical patterns in a reaction-diffusion model with cyclic competition via a novel computational framework. [PDF]
Proc Math Phys Eng Sci, 2018 Cangiani A +3 more
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A discontinuous Poisson-Boltzmann equation with interfacial jump: homogenisation and residual error estimate. [PDF]
Appl Anal, 2016 Fellner K, Kovtunenko VA.
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On the best possible remaining term in the Hardy inequality. [PDF]
Proc Natl Acad Sci U S A, 2008 Ghoussoub N, Moradifam A.
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Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints.
J Math Anal Appl, 2012 Kunisch K, Wang L.
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Semilinear Elliptic Equations with Singularity on the Boundary
Journal of Partial Differential Equations, 2002This paper is devoted to the semilinear elliptic problem \[ \begin{cases} -\Delta u=K(x) \bigl(1-|x|\bigr)^{-\lambda} u^q,\quad & x\in B,\\ u(x)>0, \quad & x\in B,\\ u(x)=0, \quad & x\in\partial B,\end{cases} \tag{1} \] where \(\lambda >0\), \(q>1\) and \(K(x)\) is a given nonnegative \(\alpha\)-Hölder continuous function on \(\overline B\).
Zeng, Youdong, Chen, Zuchi
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G-convergence and semilinear elliptic equations
Asymptotic Analysis, 1991We study the behavior of positive solutions of semilinear elliptic equations −div(a ε (x)Du ε =g(u ε ) with homogeneous Dirichlet boundary data, with respect to the G-convergence of the elliptic matrices a
DALL'AGLIO, Andrea, TCHOU N. A.
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Asymptotic properties of semilinear elliptic equations
Funkcialaj Ekvacioj, 1983Semilinear elliptic equations of the type (1) \(\Delta u+f(x,u)=0\) are considered in exterior domains \(\Omega \subset {\mathbb{R}}^ n\), \(n\geq 2\), where \(\Delta\) denotes the n-dimensional Laplacian and f is locally Hölder continuous in \(\Omega \times {\mathbb{R}}^+\).
Kusano, Takaŝi, Swanson, A. Charles
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On a semilinear elliptic equation in Hn
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2009We prove existence/nonexistence and uniqueness of positive entire solutions for some semilinear elliptic equations on the Hyperbolic space.
Mancini, Gianni, Sandeep, Kunnath
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On some Semilinear Elliptic Equations
AIP Conference Proceedings, 2009In this paper we study the third type boundary value problem for a Semilinear Elliptic Equation. Here the existence of the weak solution for the considered problem is proved and also the uniqueness of the solution of the considered problem, in a model case, is proved.
Kerime Kalli +4 more
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