Results 201 to 210 of about 1,398 (233)

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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Necessary conditions and sufficient conditions for global existence in the nonlinear Schrödinger equation.

Bégout, Pascal
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Semilinear Elliptic Equations with Singularity on the Boundary

Journal of Partial Differential Equations, 2002
This 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, 1991
We 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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On some Semilinear Elliptic Equations

AIP Conference Proceedings, 2009
In 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, Kamal N. Soltanov, Theodore E. Simos, George Psihoyios, Ch. Tsitouras   +4 more
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On a semilinear elliptic equation in Hn

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2009
We 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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Nonconvergent radial solutions of semilinear elliptic equations

Asymptotic Analysis, 2010
For many known examples of semilinear elliptic equations Δu+f(u)=0 in R N (N>1), a bounded radial solution u(r) converges to a constant as r→∞. Maier, in 1994, constructed, for N=2, an equation with a nonconvergent radial solution.
Man Kam Kwong, Solomon Wai-Him Wong
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A Class of Singularly Perturbed Semilinear Elliptic Equations

Journal of Partial Differential Equations, 2002
A singularly perturbed problem for semilinear elliptic equations in a strip domain in \(\mathbb R^n\) is considered. The existence and asymptotic behaviour of the solution is established under appropriate conditions. A formal solution in the form of power series with respect to the perturbation parameter is, thereafter using a comparison theorem and ...
Ge, Hongxia, Ding, Li
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Singular Solutions for some Semilinear Elliptic Equations

Archive for Rational Mechanics and Analysis, 1987
This paper studies solutions \(u\in C\) \(2(B_ R\setminus 0)\) of the equation \(-\Delta u+u\) \(p=0\), \(u\geq 0\) on \(B_ R\setminus 0\), the dimension of the underlying space being N.
Brézis, Haïm, Oswald, Luc
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On singular semilinear elliptic equations

2013
http://archive.org/details ...
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