Abstract
We consider the semilinear elliptic equation -△u = ƒ(u), x ∈ Ω, subject to zero Dirichlet boundary conditions, where ∈ ⊂ Rn is a bounded domain with smooth boundary and the nonlinearity ƒ assumes both positive and negative values. Under the assumption that ∈ satisfies certain symmetry conditions we establish two results providing lower bounds on the C0(∈̅) norm of positive solutions. The bounds derived are the same one obtains in dimension n = 1.
Original language | English (US) |
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Pages (from-to) | 70-73 |
Number of pages | 4 |
Journal | Proceedings of the American Mathematical Society |
Volume | 95 |
Issue number | 1 |
DOIs | |
State | Published - Sep 1985 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics