On the existence of positive entire solutions of a semilinear elliptic equation View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1986-12

AUTHORS

Wei-Yue Ding, Wei-Ming Ni

ABSTRACT

Under suitable hypotheses we obtain various theorems concerning the existence of positive solutions of the equation in ℝn, where p>1 and Q(x) is a given potential. If Q is radially symmetric, our result is particularly simple and general. We also study symmetries of solutions of the above equation in a ball with the boundary condition u = 0. More... »

PAGES

283-308

References to SciGraph publications

  • 1983-12. Nonlinear scalar field equations, I existence of a ground state in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1971-01. A symmetry problem in potential theory in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1977-06. Existence of solitary waves in higher dimensions in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1979-10. Symmetry and related properties via the maximum principle in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00282336

    DOI

    http://dx.doi.org/10.1007/bf00282336

    DIMENSIONS

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