Existence of Many Nonequivalent Nonradial Positive Solutions of Semilinear Elliptic Equations on Three-Dimensional Annuli
- 1 May 1997
- journal article
- Published by Elsevier in Journal of Differential Equations
- Vol. 136 (1) , 136-165
- https://doi.org/10.1006/jdeq.1996.3241
Abstract
No abstract availableKeywords
This publication has 18 references indexed in Scilit:
- The principal eigenvalue and maximum principle for second‐order elliptic operators in general domainsCommunications on Pure and Applied Mathematics, 1994
- On the number of positive solutions of some weakly nonlinear equations on annular regionsMathematische Zeitschrift, 1991
- Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domainsCommunications in Partial Differential Equations, 1991
- Existence of many positive solutions of semilinear elliptic equations on annulusJournal of Differential Equations, 1990
- Nodal sets for solutions of elliptic equationsJournal of Differential Geometry, 1989
- A non-linear boundary value problem with many positive solutionsJournal of Differential Equations, 1984
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponentsCommunications on Pure and Applied Mathematics, 1983
- Nonlinear elliptic problems in strip-like domains: symmetry of positive vortex ringsNonlinear Analysis, 1983
- A priori bounds for positive solutions of nonlinear elliptic equationsCommunications in Partial Differential Equations, 1981
- Symmetry and related properties via the maximum principleCommunications in Mathematical Physics, 1979