Existence of non-degenerate continua of singular radial solutions for several classes of semilinear elliptic problems
Document Type
Article - postprint
Department
Harvey Mudd College
Publication Date
2014
Abstract
We establish the existence of countably many branches of uncountably many solutions to elliptic boundary value problems with subcritical, and subsuper critical growth. We also prove the existence of two branches of uncountably many solutions to a problem with jumping nonlinearities. This case is remarkable since, generically, this problem has only finitely many regular solutions.
Rights Information
© 2014, Milan Journal of Mathematics
DOI
10.1007/s00032-014-0226-6
Recommended Citation
(With V. Ardila and J. Caicedo), “Existence of non-degenerate continua of singular radial solutions for several classes of semilinear elliptic problems", Milan J. Math. 82 (2014), no. 2, 313-330.
