Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-24T17:55:56.495Z Has data issue: false hasContentIssue false
  • English
  • Français

Generalized Emden-Fowler equations of subcritical growth

Part of: Elliptic equations and systems

Published online by Cambridge University Press:  09 April 2009

Wolfgang Rother
Wolfgang Rother
Affiliation:
University of BayreuthP. O. B. 101251 W-8580 Bayreuth Federal Republic of, Germany
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The existence of positive solutions, vanishing at infinity, for the semilinear eigenvalue problem Lu = λ f(x, y) in RN is obtained, where L is a strictly elliptic operator. The function f is assumed to be of subcritical growth with respect to the variable u.

MSC classification

Secondary: 35J60: Nonlinear elliptic equations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 54 , Issue 2 , April 1993 , pp. 254 - 262
Copyright
Copyright © Australian Mathematical Society 1993

References

[1]Brézis, H. and Kato, T., ‘Remarks on the Schrödinger operator with singular complex potentials’, J. Math. Pures Appl. 58 (1979), 137–151.Google Scholar
[2]Gilbarg, D. and Trudinger, N. S., Elliptic partial differential equations of second order (Springer, Berlin, 1983).Google Scholar
[3]Noussair, E. S. and Swanson, C. A., ‘An Lq (RN)-theory of subcritical semilinear elliptic problems’, J. Differential Equations 84 (1990), 52–61.CrossRefGoogle Scholar
[4]Stampacchia, G., ‘Le probléme de Dirichlet pour leséquations elliptiques du second ordre à coefficients discontinus’, Ann. Inst. Fourier, (Grenoble) 15 (1965), 189–258.CrossRefGoogle Scholar