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Polynomial boundedness of eigensolutions and the spectrum of Schrödinger operators.

Andreas M. Hinz, Günter Stolz (1992)

Mathematische Annalen

Polynomial bounds on the number of scattering poles for symmetric systems

G. Vodev (1991)

Annales de l'I.H.P. Physique théorique

Positive Operators and Elliptic Eigenvalue Problems.

Roger D. Nussbaum (1984)

Mathematische Zeitschrift

Positive solution of asymptotically linear elliptic eigenvalue problems for certain differential equations of the fourth order

Jan Bochenek (1985)

Annales Polonici Mathematici

Positive solutions of critical quasilinear elliptic equations in $R^{N}$

Paul A. Binding, Pavel Drábek, Yin Xi Huang (1999)

Mathematica Bohemica

We consider the existence of positive solutions of -pu=g(x)|u|p-2u+h(x)|u|q-2u+f(x)|u|p*-2u(1) in $ℝ^{N}$ , where $λ, α \in ℝ$ , $1 < p < N$ , $p^{*} = N p / (N - p)$ , the critical Sobolev exponent, and $1 < q < p^{*}$ , $q \neq p$ . Let $λ_{1}^{+} > 0$ be the principal eigenvalue of -pu=g(x)|u|p-2u in , g(x)|u|p>0, (2) with $u_{1}^{+} > 0$ the associated eigenfunction. We prove that, if $\int_{ℝ^{N}} f {| u_{1}^{+} |}^{p^{*}} < 0$ , $\int_{ℝ^{N}} h {| u_{1}^{+} |}^{q} > 0$ if $1 < q < p$ and $\int_{ℝ^{N}} h {| u_{1}^{+} |}^{q} < 0$ if $p < q < p^{*}$ , then there exist $λ^{*} > λ_{1}^{+}$ and $α^{*} > 0$ , such that for $λ \in [λ_{1}^{+}, λ^{*})$ and $α \in [0, α^{*})$ , (1) has at least one positive solution.

Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems

Hongtao Chen, Shanghui Jia, Hehu Xie (2009)

Applications of Mathematics

In this paper we propose a method for improving the convergence rate of the mixed finite element approximations for the Stokes eigenvalue problem. It is based on a postprocessing strategy that consists of solving an additional Stokes source problem on an augmented mixed finite element space which can be constructed either by refining the mesh or by using the same mesh but increasing the order of the mixed finite element space.

Problème spectrale concernant l'opérateur de Laplace et les domaines des polyèdres générés par le systéme de racines de type C.

P. T. Craciunas, D. L. Fernández, D. Magueron, A. F. Shestopal (1985)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Currently displaying 21 – 40 of 55

Previous Page 2 Next

Displaying 21 – 40 of 55

Polynomial boundedness of eigensolutions and the spectrum of Schrödinger operators.

Polynomial bounds on the number of scattering poles for symmetric systems

Positive Operators and Elliptic Eigenvalue Problems.

Positive solution of asymptotically linear elliptic eigenvalue problems for certain differential equations of the fourth order

Positive solutions of critical quasilinear elliptic equations in $R^{N}$

Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems

Potential Scattering in a Homogeneous Electrostatic Field.

Potential wells in high dimensions I

Potentials wells in high dimensions II, more about the one well case

Precise spectral asymptotics for nonautonomous logistic equations of population dynamics in a ball.

Première valeur propre du laplacien et volume des sphères riemanniennes

Preuve de la conjecture de Lieb-Thirring dans le cas des potentiels quadratiques strictement convexes

Problème de Cauchy et diffusion à données petites pour les modèles discrets de la cinétique des gaz

Problème de la glace pilée

Problème spectrale concernant l'opérateur de Laplace et les domaines des polyèdres générés par le systéme de racines de type C.

Prolongement méromorphe de la matrice de diffusion pour les problèmes à $N$ corps à longue portée

Prolongement méromorphe de la matrice de diffusion pour les problèmes à $N$ corps à longue portée

Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée

Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée

Proof of the ionization conjecture in a reduced Hartree-Fock model.

Currently displaying 21 – 40 of 55