Multiple solutions of quasilinear elliptic equations in ℝn

Huei Li Lin*

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

2 Scopus citations


Assume that Q is a positive continuous function in ℝN and satisfies some suitable conditions. We prove that the quasilinear elliptic equation - Δ p u + | u | p - 2 u = Q (z) | u | q - 2 u in ℝN admits at least two solutions in ℝN (one is a positive ground-state solution and the other is a sign-changing solution).

Original languageEnglish
Article number673526
JournalInternational Journal of Differential Equations
StatePublished - 2010


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