\`x^2+y_1+z_12^34\`
Advanced Search
Article Contents
Article Contents

A sharper energy method for the localization of the support to some stationary Schrödinger equations with a singular nonlinearity

Abstract Related Papers Cited by
  • We prove the compactness of the support of the solution of some stationary Schrödinger equations with a singular nonlinear order term. We present here a sharper version of some energy methods previously used in the literature.
    Mathematics Subject Classification: Primary: 35B45.

    Citation:

    \begin{equation} \\ \end{equation}
  • [1]

    S. N. Antontsev, J. I. Díaz, and S. Shmarev, Energy methods for free boundary problems: Applications to nonlinear PDEs and fluid mechanics, Progress in Nonlinear Differential Equations and their Applications, 48. Birkhäuser Boston Inc., Boston, MA, 2002.

    [2]

    P. Bégout and J. I. Díaz, Existence of weak solutions to some stationary Schrödinger equations with singular nonlinearity, Accepted for publication in RACSAM Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat., & arXiv:1304.3389.

    [3]

    P. Bégout and J. I. Díaz, Self-similar solutions with compactly supported profile of some nonlinear Schrödinger equations, Submitted, & arXiv:1301.0715.

    [4]

    P. Bégout and J. I. Díaz, On a nonlinear Schrödinger equation with a localizing effect, C. R. Math. Acad. Sci. Paris, 342 (2006), 459-463.doi: 10.1016/j.crma.2006.01.027.

    [5]

    P. Bégout and J. I. Díaz, Localizing estimates of the support of solutions of some nonlinear Schrödinger equations - The stationary case, Ann. Inst. H. Poincaré Anal. Non Linéaire, 29 (2012), 35-58.doi: 10.1016/j.anihpc.2011.09.001.

    [6]

    T. Cazenave, Semilinear Schrödinger Equations, Courant Lecture Notes in Mathematics, 10, New York University Courant Institute of Mathematical Sciences, New York, 2003.

  • 加载中
SHARE

Article Metrics

HTML views() PDF downloads(88) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return