Hostname: page-component-848d4c4894-75dct Total loading time: 0 Render date: 2024-06-01T15:39:24.724Z Has data issue: false hasContentIssue false

Generalized Emden-Fowler equations of subcritical growth

Published online by Cambridge University Press:  09 April 2009

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

Type
Research Article
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), 137151.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), 5261.CrossRefGoogle Scholar
[4]Stampacchia, G., ‘Le probléme de Dirichlet pour leséquations elliptiques du second ordre à coefficients discontinus’, Ann. Inst. Fourier, (Grenoble) 15 (1965), 189258.CrossRefGoogle Scholar