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

Soohyun Bae, Wei Ming Ni

Research output: Contribution to journalArticlepeer-review

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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 - 2001

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