EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 301 – 320 of 850

Finite volume schemes for the p-Laplacian on Cartesian meshes

Boris Andreianov, Franck Boyer, Florence Hubert (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

This paper is concerned with the finite volume approximation of the p-Laplacian equation with homogeneous Dirichlet boundary conditions on rectangular meshes. A reconstruction of the norm of the gradient on the mesh's interfaces is needed in order to discretize the p-Laplacian operator. We give a detailed description of the possible nine points schemes ensuring that the solution of the resulting finite dimensional nonlinear system exists and is unique. These schemes, called admissible, are locally...

Fourth-order nonlinear elliptic equations with critical growth

David E. Edmunds, Donato Fortunato, Enrico Jannelli (1989)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this paper we consider a nonlinear elliptic equation with critical growth for the operator $\Delta^{2}$ in a bounded domain $\Omega\subset\mathbb{R}^{n}$ . We state some existence results when $n\geq 8$ . Moreover, we consider $5\leq n\leq 7$ , expecially when $\Omega$ is a ball in $\mathbb{R}^{n}$ .

Free boundary problems and transonic shocks for the Euler equations in unbounded domains

Gui-Qiang Chen, Mikhail Feldman (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We establish the existence and stability of multidimensional transonic shocks (hyperbolic-elliptic shocks), which are not nearly orthogonal to the flow direction, for the Euler equations for steady compressible potential fluids in unbounded domains in $ℝ^{n}, n \geq 3$ . The Euler equations can be written as a second order nonlinear equation of mixed hyperbolic-elliptic type for the velocity potential. The transonic shock problem can be formulated into the following free boundary problem: The free boundary is the...

Free Boundary Problems with Nonlinear Source Terms.

Gunter H. Meyer (1984)

Numerische Mathematik

Further qualitative properties for elliptic equations in unbounded domains

Henri Berestycki, Luis Caffarelli, Louis Nirenberg (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Generalized dirichlet problem in nonlinear potential theory.

Tero Kilpeläinen, Jan Maly (1990)

Manuscripta mathematica

Generalized holomorphic functions and Clifford analysis.

Obolashvili, E. (1997)

Memoirs on Differential Equations and Mathematical Physics

Generalized linking theorem and nonlinear equations in unbounded domains

Szulkin, Andrzej (1998)

Proceedings of Equadiff 9

Generic existence result for an eigenvalue problem with rapidly growing principal operator

Vy Khoi Le (2004)

ESAIM: Control, Optimisation and Calculus of Variations

We consider the eigenvalue problem $\begin{matrix} - div (a (| \nabla u |) \nabla u) = λ g (x, u) in Ω \\ u = 0 on \partial Ω, \end{matrix}$ in the case where the principal operator has rapid growth. By using a variational approach, we show that under certain conditions, almost all $λ > 0$ are eigenvalues.

Generic existence result for an eigenvalue problem with rapidly growing principal operator

Vy Khoi Le (2010)

ESAIM: Control, Optimisation and Calculus of Variations

We consider the eigenvalue problem $\begin{matrix} - div (a (| \nabla u |) \nabla u) = λ g (x, u) in Ω u = 0 on \partial Ω, \end{matrix}$ in the case where the principal operator has rapid growth. By using a variational approach, we show that under certain conditions, almost all λ > 0 are eigenvalues.

Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditions.

Liang, Fei-Tsen (2004)

International Journal of Mathematics and Mathematical Sciences

Currently displaying 301 – 320 of 850

Previous Page 16 Next

Displaying 301 – 320 of 850

Finite volume schemes for the p-Laplacian on Cartesian meshes

Fourth-order nonlinear elliptic equations with critical growth

Free boundary problems and transonic shocks for the Euler equations in unbounded domains

Free Boundary Problems with Nonlinear Source Terms.

Further qualitative properties for elliptic equations in unbounded domains

Generalized dirichlet problem in nonlinear potential theory.

Generalized holomorphic functions and Clifford analysis.

Generalized linking theorem and nonlinear equations in unbounded domains

Generic existence result for an eigenvalue problem with rapidly growing principal operator

Generic existence result for an eigenvalue problem with rapidly growing principal operator

Generic properties of nonlinear boundary value problems

Generic properties of von Kármán equations

Geometric properties of solutions to the anisotropic $p$ -Laplace equation in dimension two.

Geometry and topology of the boundary in the critical Neumann problem.

Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity

Global behaviour and symmetry properties of singular solutions of nonlinear elliptic equations

Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditions.

Global branching for discontinuous problems

Global C...-regularity for second order quasilinear elliptic euqations in divergence form.

Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence

Currently displaying 301 – 320 of 850