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Displaying 161 – 180 of 850

Contact problem of two elastic bodies. III

Vladimír Janovský, Petr Procházka (1980)

Aplikace matematiky

The goal of the paper is the study of the contact problem of two elastic bodies which is applicable to the solution of displacements and stresses of the earth continuum and the tunnel wall. In this first part the variational formulation of the continuous and discrete model is stated. The second part covers the proof of convergence of finite element method to the solution of continuous problem while in the third part some practical applications are illustrated.

Continuity Estimates for Solutions to the Prescribed-Curvature Dirichlet Problem.

Nicholas J., Simon, Leon Korevaar (1988)

Mathematische Zeitschrift

Continuum spectrum for the linearized extremal eigenvalue problem with boundary reactions

Futoshi Takahashi (2014)

Mathematica Bohemica

We study the semilinear problem with the boundary reaction $- Δ u + u = 0 in Ω, \frac{\partial u}{\partial ν} = λ f (u) on \partial Ω,$ where $Ω \subset ℝ^{N}$ , $N \geq 2$ , is a smooth bounded domain, $f : [0, \infty) \to (0, \infty)$ is a smooth, strictly positive, convex, increasing function which is superlinear at $\infty$ , and $λ > 0$ is a parameter. It is known that there exists an extremal parameter $λ^{*} > 0$ such that a classical minimal solution exists for $λ < λ^{*}$ , and there is no solution for $λ > λ^{*}$ . Moreover, there is a unique weak solution $u^{*}$ corresponding to the parameter $λ = λ^{*}$ . In this paper, we continue to study the spectral properties of $u^{*}$ and show...

Convergence and stability of difference scheme for an elliptic system of non-linear differential-functional equations with boundary conditions of Dirichlet type

Bogusław Bożek (1984)

Annales Polonici Mathematici

Convergence of the Multigrid Full Approximation Scheme for a Class of Elliptic Mildly Nonlinear Boundary Value Problems.

Arnold Reusken (1987/1988)

Numerische Mathematik

Convergence of the Multilevel Full Approximation Scheme including the V-Cycle.

Arnold Reusken (1988)

Numerische Mathematik

Convergence to a positive equilibrium for some nonlinear evolution equations in a ball.

Haraux, A., Poláčik, P. (1992)

Acta Mathematica Universitatis Comenianae. New Series

Convergent algorithms suitable for the solution of the semiconductor device equations

Miroslav Pospíšek (1995)

Applications of Mathematics

In this paper, two algorithms are proposed to solve systems of algebraic equations generated by a discretization procedure of the weak formulation of boundary value problems for systems of nonlinear elliptic equations. The first algorithm, Newton-CG-MG, is suitable for systems with gradient mappings, while the second, Newton-CE-MG, can be applied to more general systems. Convergence theorems are proved and application to the semiconductor device modelling is described.

Costruzione di spike-layers multidimensionali

Andrea Malchiodi (2005)

Bollettino dell'Unione Matematica Italiana

Si studiano soluzioni positive dellequazione $- ϵ^{2} Δ u + u = u^{p}$ in $Ω$ , dove $Ω \subseteq R^{n}$ , $p > 1$ ed $ϵ$ è un piccolo parametro positivo. Si impongono in genere condizioni al bordo di Neumann. Quando $ϵ$ tende a zero, dimostriamo esistenza di soluzioni che si concentrano su curve o varietà.

Critère d'existence de solutions positives pour des équations semi-linéaires non monotones

Pierre Baras, Michel Pierre (1985)

Annales de l'I.H.P. Analyse non linéaire

Critical boundary constants and Pohozaev identity

Ould Ahmed-Izid-Bih Isselkou (2001)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Critical Neumann problem with competing Hardy potentials.

Daomin Cao, Jan Chabrowski (2007)

Revista Matemática Complutense

Decaying positive solutions of some quasilinear differential equations

Tadie (1998)

Commentationes Mathematicae Universitatis Carolinae

The existence of decaying positive solutions in $ℝ_{+}$ of the equations $(E_{λ})$ and $(E_{λ}^{1})$ displayed below is considered. From the existence of such solutions for the subhomogeneous cases (i.e. $t^{1 - p} F (r, t U, t | U^{'} |) ↘ 0$ as $t ↗ \infty$ ), a super-sub-solutions method (see § 2.2) enables us to obtain existence theorems for more general cases.

Defect Correction for Nonlinear Elliptic Difference Equations.

Winfried Auzinger (1987)

Numerische Mathematik

Deformation of domain and the limit of the variational eigenvalues of semilinear elliptic operators.

Shibata, Tetsutaro (1996)

International Journal of Mathematics and Mathematical Sciences

Degenerate elliptic equations with measure data and nonlinear potentials

Tero Kilpeläinen, Jan Malý (1992)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Difference method for an elliptic system of nonlinear differential-functional equations.

Mosurski, Ryszard (2005)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Dirichlet problems for general Monge-Ampere equations.

Jiaxing Hong (1992)

Mathematische Zeitschrift

Dirichlet problems with singular and gradient quadratic lower order terms

Lucio Boccardo (2008)

ESAIM: Control, Optimisation and Calculus of Variations

We present a revisited form of a result proved in [Boccardo, Murat and Puel, Portugaliae Math.41 (1982) 507–534] and then we adapt the new proof in order to show the existence for solutions of quasilinear elliptic problems also if the lower order term has quadratic dependence on the gradient and singular dependence on the solution.

Dirichlet-Neumann alternating algorithm for an exterior anisotropic quasilinear elliptic problem

Baoqing Liu, Qikui Du (2014)

Applications of Mathematics

In this paper, by the Kirchhoff transformation, a Dirichlet-Neumann (D-N) alternating algorithm which is a non-overlapping domain decomposition method based on natural boundary reduction is discussed for solving exterior anisotropic quasilinear problems with circular artificial boundary. By the principle of the natural boundary reduction, we obtain natural integral equation for the anisotropic quasilinear problems on circular artificial boundaries and construct the algorithm and analyze its convergence....

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