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Displaying 1241 – 1260 of 5493

Efficient representations of Green’s functions for some elliptic equations with piecewise-constant coefficients

Yuri Melnikov (2010)

Open Mathematics

Convenient for immediate computer implementation equivalents of Green’s functions are obtained for boundary-contact value problems posed for two-dimensional Laplace and Klein-Gordon equations on some regions filled in with piecewise homogeneous isotropic conductive materials. Dirichlet, Neumann and Robin conditions are allowed on the outer boundary of a simply-connected region, while conditions of ideal contact are assumed on interface lines. The objective in this study is to widen the range of...

Eigencurves for a Steklov problem.

Anane, Aomar, Chakrone, Omar, Karim, Belhadj, Zerouali, Abdellah (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Eigencurves of the $p$ -Laplacian with weights and their asymptotic behavior.

Dakkak, Ahmed, Hadda, Mohammed (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Eigenfunctions and Nodal Sets

Shiu-Yuen Cheng (1976)

Commentarii mathematici Helvetici

Eigenstructure of the equilateral triangle. II: The Neumann problem.

McCartin, Brian J. (2002)

Mathematical Problems in Engineering

Eigenstructure of the equilateral triangle. III: The Robin problem.

McCartin, Brian J. (2004)

International Journal of Mathematics and Mathematical Sciences

Eigenvalue asymptotics for Neumann Laplacian in domains with ultra-thin cusps

Victor Ivrii (1998/1999)

Séminaire Équations aux dérivées partielles

Asymptotics with sharp remainder estimates are recovered for number $N (τ)$ of eigenvalues of the generalized Maxwell problem and for related Laplacians which are similar to Neumann Laplacian. We consider domains with ultra-thin cusps (with $exp (- | x |^{m + 1}$ ) width ; $m > 0$ ) and recover eigenvalue asymptotics with sharp remainder estimates.

Eigenvalue asymptotics for the Schrödinger operator with perturbed periodic potential.

G.D. Raikov (1992)

Inventiones mathematicae

Eigenvalue asymptotics of the even-dimensional exterior Landau-Neumann Hamiltonian.

Persson, Mikael (2009)

Advances in Mathematical Physics

Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain.

Pushnitski, Alexander, Rozenblum, Grigori (2007)

Documenta Mathematica

Eigenvalue distributions of some degenerate elliptic operators: an approach via entropy numbers.

D.E. Edmunds, H. Triebel (1994)

Mathematische Annalen

Eigenvalue problems and bifurcation of nonhomogeneous semilinear elliptic equations in exterior strip domains.

Hsu, Tsing-San (2007)

Boundary Value Problems [electronic only]

Eigenvalue problems for a quasilinear elliptic equation on $ℝ^{n}$ .

Poulou, Marilena N., Stavrakakis, Nikolaos M. (2005)

International Journal of Mathematics and Mathematical Sciences

Eigenvalue problems for degenerate nonlinear elliptic equations in anisotropic media.

Motreanu, Dumitru, Rădulescu, Vicenţiu (2005)

Boundary Value Problems [electronic only]

Eigenvalue problems for the $p$ -Laplacian with indefinite weights.

Cuesta, Mabel (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Eigenvalue problems of quasilinear elliptic systems on Rn.

Gong Bao Li (1987)

Revista Matemática Iberoamericana

In this paper we get the existence results of the nontrivial weak solution (λ,u) of the following eigenvalue problem of quasilinear elliptic systems-Dα (aαβ(x,u) Dβui) + 1/2 Dui aαβ(x,u)Dαuj Dβuj + h(x) ui = λ|u|p-2ui, for x ∈ Rn, 1 ≤ i ≤ N and u = (u1, u2, ..., uN) ∈ E = {v = (v1, v2, ..., vN) | vi ∈ H1(Rn), 1 ≤ i ≤ N},where aαβ(x,u) satisfy the natural growth conditions. It seems that this kind of problem has never been dealt with before.

Eigenvalue problems with indefinite weight

Andrzej Szulkin, Michel Willem (1999)

Studia Mathematica

We consider the linear eigenvalue problem -Δu = λV(x)u, $u \in D_{0}^{1, 2} (Ω)$ , and its nonlinear generalization $- Δ_{p} u = λ V (x) {| u |}^{p - 2} u$ , $u \in D_{0}^{1, p} (Ω)$ . The set Ω need not be bounded, in particular, $Ω = ℝ^{N}$ is admitted. The weight function V may change sign and may have singular points. We show that there exists a sequence of eigenvalues $λ_{n} \to \infty$ .

Eigenvalue questions on some quasilinear elliptic problems

Poulou, M. N., Stavrakakis, N. M. (2007)

Proceedings of Equadiff 11

Eigenvalue stability bounds via weighted Sobolov spaces.

E.B. Davies (1993)

Mathematische Zeitschrift

Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case

Milan Práger (2001)

Applications of Mathematics

A discretized boundary value problem for the Laplace equation with the Dirichlet and Neumann boundary conditions on an equilateral triangle with a triangular mesh is transformed into a problem of the same type on a rectangle. Explicit formulae for all eigenvalues and all eigenfunctions are given.

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