Výsledky vyhledávání - "Renate Schaaf"

A low-dimensional conjugacy for elliptic equations and symmetry breaking on rotated domains

Publikováno v: Journal of Differential Equations. 192(1):70-92

A topological conjugacy is established between certain elliptic PDEs with one unbounded time direction and a simple second-order differential equation, admitting the dynamics of such PDEs to be examined on a two-dimensional submanifold. By this means

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A Hopf bifurcation in a parabolic free boundary problem

Autor: Russell C. Thompson, Renate Schaaf, Yoon-Mee Lee

Publikováno v: Journal of Computational and Applied Mathematics. 52(1-3):305-324

The occurrence of a Hopf bifurcation in a free boundary problem for a parabolic partial differential equation is investigated. The bifurcation parameter τ is contained in the equation which describes the evolution of the free boundary. The problem i

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Asymptotic behavior of positive solution branches of elliptic problems with linear part at resonance

Autor: Klaus Schmitt, Renate Schaaf

Publikováno v: ZAMP Zeitschrift f�r angewandte Mathematik und Physik. 43:645-676

We consider Dirichlet problems for semilinear elliptic equations whose linear part is at resonance. For various types of nonlinearities we provide sufficient conditions for the solvability of these problems for certain types of forcing terms. Dependi

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https://doi.org/10.1007/bf00946255

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Uniqueness for semilinear elliptic problems: supercritical growth and domain geometry

Autor: Renate Schaaf

Publikováno v: Adv. Differential Equations 5, no. 10-12 (2000), 1201-1220

As key problems we consider semilinear elliptic equations $\triangle u + \lambda f(u)=0\, \quad u|_{\partial {\Omega}} =0$ whose nonlinearities have supercritical growth near $u=\infty$ with $f(0)\ge 0$. For examples of these problems on ball domains

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http://projecteuclid.org/euclid.ade/1356651221

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Asymptotics for Solution Branches Of Semilinear Elliptic Problems At Resonance

Autor: Klaus Schmitt, Renate Schaaf

We consider Dirichlet problems for semilinear elliptic equations whose nonlinear term is oscillatory and whose linear part is at resonance. We show that the number of solutions of such problems on convex domains depends on the space dimension, as we

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https://doi.org/10.1016/s0076-5392(08)63384-6

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Elektronická kniha

Global Solution Branches of Two Point Boundary Value Problems

Autor: Renate Schaaf

The book deals with parameter dependent problems of the form u'+•f(u)=0 on an interval with homogeneous Dirichlet or Neuman boundary conditions. These problems have a family of solution curves in the (u,•)-space. By examining the so-called time m

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