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Friday, July 10, 2020 | History

5 edition of Weakly nonlinear Dirichlet problems on long or thin domains found in the catalog.

Weakly nonlinear Dirichlet problems on long or thin domains

by E. N. Dancer

  • 190 Want to read
  • 18 Currently reading

Published by American Mathematical Society in Providence, RI .
Written in English

    Subjects:
  • Dirichlet problem -- Asymptotic theory.

  • Edition Notes

    StatementE.N. Dancer.
    SeriesMemoirs of the American Mathematical Society,, no. 501
    Classifications
    LC ClassificationsQA3 .A57 no. 501, QA425 .A57 no. 501
    The Physical Object
    Paginationviii, 66 p. :
    Number of Pages66
    ID Numbers
    Open LibraryOL1394947M
    ISBN 100821825631
    LC Control Number93002236

    On Multiple Solutions of a Nonlinear Dirichlet Problem Alfonso Castro Harvey Mudd College Jorge Cossio Universidad Nacional de Colombia John M. Neuberger Mississippi State University This Article - postprint is brought to you for free and open access by the HMC Faculty Scholarship at Scholarship @ Claremont. It has been accepted. Uniqueness of solutions of nonlinear Dirichlet problems. P. N. Srikanth problem for a second order differential equation with quadratic growth in the derivative Delbosco, Domenico, Differential and Integral Equations, On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: the.

    NONLINEAR DIRICHLET PROBLEMS Let (uJ be defined as in () and set We note that each of the functions zc,, n > I, is real analytic and nonconstant in D. Thus grad U, # 0 a.e. in D. This implies that, for almost every p in (0,,Q, the set (x E D: UJX. Abstract. We consider a nonlinear Dirichlet elliptic equation driven by a nonhomogeneous differential operator and with a Carathéodory reaction, whose primitive is -superlinear near, but need not satisfy the usual in such cases, the Ambrosetti-Rabinowitz a combination of variational methods with the Morse theory (critical groups), we show that the Cited by: 6.

    Covers in a progressive fashion a number of analysis tools and design techniques directly applicable to nonlinear control problems in high performance systems (in aerospace, robotics and automotive areas). From inside the book. What people are saying - Write a review. Other editions - View all. Applied Nonlinear Control Jean-Jacques E. Progress in Mathematical Physics Volume 46 Editors-in-Chief Anne Boutet de Monvel, Universite Paris VII Denis Diderot This book is devoted to homogenization problems for partial differential equations (with respect to the space variables) or are considered in domains with complex microstructure, such as domains with fine-grainedboundary.


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Weakly nonlinear Dirichlet problems on long or thin domains by E. N. Dancer Download PDF EPUB FB2

Presents a basic theory for nonlinear elliptic equations on long or thin domains for Dirichlet boundary conditions. This book describes Dirichlet problems which are of. Get this from a library. Weakly nonlinear Dirichlet problems on long or thin domains. [E N Dancer] -- In this paper, we discuss the existence, uniqueness and asymptotic behavior of positive solutions of the equation −[capital Greek]Delta[italic]u = [lowercase Greek]Lambda[function]ƒ([italic]u) in.

: Weakly Nonlinear Dirichlet Problems on Long or Thin Domains (Memoirs of the American Mathematical Society) (): E. Dancer: BooksAuthor: E. Dancer. The aim of this work is to develop a basic theory for nonlinear elliptic equations on long or thin domains for Dirichlet boundary conditions.

This is the first treatment of such Dirichlet problems, which are of significant interest in applications. 3 Let Ω ∈D0,T is given and ψ is an arbitrary continous nonnegative function defined on PΩ. DPconsists in finding a solution to equation () in Ω S DΩ satisfying initial-boundary condition u= ψ on PΩ () Obviously, in general the equation () degenerates at points (x,t), where u= 0 and wecannot expect the considered problem to have classical solution.

E.N. Dancer, Weakly nonlinear Dirichlet problems in long or thin domains, to appear in Memoirs Amer. Math. Soc. Google Scholar [19] E.N. Dancer, On the number of solutions of weakly nonlinear elliptic equations when a parameter is large, Cited by: characterized in terms of the limit of suitable nonlinear capacities associated to the domains.

Introduction The main purpose of this paper is the study of the asymptotic behavior, as h>+~o, of sequences of minimum problems in varying open sets with Dirichlet boundary conditions of.

BUTTAZZO G., DAL MASO G., MOSCO U.: Asymptotic behaviour for Dirichlet problems in domains bounded by thin layers. Partial Differential Equations and the Calculus of Variations, Essays in Honor of Ennio De Giorgi, –, Birkhäuser, Boston, Author: Gianni Dal Maso.

On the spectrum and weakly effective operator for Dirichlet Laplacian in thin deformed tubes Article in Journal of Mathematical Analysis and Applications (1).

Memoirs of the American Mathematical Society. The Memoirs of the AMS series is devoted to the publication of research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers or groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the AMS.

Weakly nonlinear usually means that there is only one term which is nonlinear. Usually in the case of fluid flow (such as the KdV), the assumption is made of being a long wave length which when you do the asymptotic expansions, give rise to only one nonlinear term.

That is what people generally refer to as weakly nonlinear. The Dirichlet problems of singular elliptic equations appeared in many applied fields, such as the theory of heat conduction in electrically conducting materials and pseudoplastic fluids, the.

Nonlinear Analysis: Theory, Methods & Applications Vol Issue 4, FebruaryPages Multiple solutions of nonlinear elliptic Dirichlet problems in exterior domains ☆Cited by: Domain perturbation for linear and semi-linear boundary value problems 5 precise multiplicity of solutions and the phenomenon of large solutions.

Finally, we show that the theory also applies to unbounded limit domains. There are many other motivations to look at domain perturbation problems, so for. Time discretization of a nonlinear phase field system in general domains.

Communications on Pure & Applied Analysis,18 (6): doi: /cpaaCited by: 3. Semilinear elliptic Dirichlet problems REFERENCES I. CERAMI G. & PASSASEO D., Existence and multiplicity of positive solutions for nonlinear elliptic problems in exterior domains with rich topology, Nonlinear Analysis 18(2), ().

by: APPROXIMATION OF SOLUTIONS TO THE MIXED DIRICHLET-NEUMANN BOUNDARY VALUE PROBLEM ON LIPSCHITZ DOMAINS We show that solutions to the mixed problem on a Lipschitz domain can be ap-proximated in the Sobolev space H. 1 by solutions to a family of related mixed Dirichlet-Robin boundary value problems which converge in H.

1 (), and we give Author: Morgan F. Schreffler. DIRICHLET PROBLEM FOR NONLINEAR ELLIPTIC EQUATIONS the a priori estimate () 5 K independent of t, it follows that the set of such f is also closed-and hence the whole unit interval. The function u’ is then our desired solution of ().

We shall derive a priori estimates Iulz+u 5 R for solutions of () which apply to the solutions of ()‘, for the constant K will File Size: 1MB. Existence and boundary behavior of solutions for a nonlinear Dirichlet problem in the annulus Sonia.

Ben Makhlouf, Malek. Zribi Workshop in Nonlinear PDEs(Belgique, septembre ) Sonia. Ben Makhlouf, Malek. Zribi Existence and boundary behavior of solutions for a nonlinear Dirichlet problem in the annulus.

This paper gives a survey over some of the most important methods and results of nonlinear functional analysis in ordered Banach spaces. By means of iterative techniques and by using topological tools, fixed point theorems for completely continuous maps in ordered Banach spaces are deduced, and particular attention is paid to the derivation of multiplicity by:.

VERY WEAK SOLUTIONS WITH BOUNDARY SINGULARITIES FOR SEMILINEAR ELLIPTIC DIRICHLET PROBLEMS IN DOMAINS WITH CONICAL CORNERS J. HORAK, P.J. MCKENNA & W. REICHEL Abstract. Let ˆRn be a bounded Lipschitz domain with a cone-like corner at 0 [email protected]

We prove existence of at least two positive unbounded very weak solutions of the problem u = File Size: 4MB.NONLINEAR DIRICHLET PROBLEMS For J 2 C2 and u0 a critical point of J we define the Morse index of J at u0 as follows: if there is a nonnegative integer m such that there exists an m-dimensional subspace of H on which D2J(u0) is negative-definite and m is maximal with respect to this property, we say that m is the Morse index of J at u0 and we denote it by.TY - JOUR.

T1 - Uniqueness of solutions of nonlinear Dirichlet problems. AU - Ni, Wei-Ming. PY - / Y1 - / N2 - In this paper, we consider the uniqueness of radial solutions of the nonlinear Dirichlet problem Δu + f{hook}(u) = 0 in Ω with u = 0 on ∂Ω, where Δ = ∑i = 1n ∂2 ∂xi2,f{hook} satisfies some appropriate conditions and Ω is a bounded smooth domain in Rn Cited by: