Positive Finite Energy Solutions of Critical Semilinear Elliptic Problems
- 1 October 1992
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 44 (5), 1014-1029
- https://doi.org/10.4153/cjm-1992-062-2
Abstract
Existence theorems and asymptotic properties will be obtained for boundary value problems of the form in an unbounded domain Ω⊆ RN(N ≥3) with smooth boundary, where Δ denotes the TV-dimensional Laplacian, τ — (N+ 2)/ (N — 2) is the critical Sobolev exponent, and is the completion of in the L2(Ω) norm of .Keywords
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