Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on Rn

Soohyun Bae, Wei Ming Ni

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

The existence/nonexistence question is studied for the inhomogeneous elliptic equation Δu + up + μf(x) = 0 in Rn. In particular, we establish that the above equation possesses infinitely many positive entire solutions for small μ > 0 provided that n ≥ 11, p is large enough, and the locally Hölder continuous function f satisfies suitable decay conditions at ∞.

Original languageEnglish (US)
Pages (from-to)191-210
Number of pages20
JournalMathematische Annalen
Volume320
Issue number1
DOIs
StatePublished - Jan 1 2001

Fingerprint Dive into the research topics of 'Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on R<sup>n</sup>'. Together they form a unique fingerprint.

Cite this