Nonexistence Results for Elliptic Problems with Supercritical Nonlinearity in Nontrivial Domains
Journal of Functional Analysis, ISSN: 0022-1236, Vol: 114, Issue: 1, Page: 97-105
1993
- 77Citations
- 2Captures
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Article Description
Let Ω be a bounded domain in R n with n ≥3 and assume p >2 n /( n −2). We study problems of the type Δu+|u|p−2u=0 in Ω, u=0 on ∂Ω. We prove that for suitable p ≥2 n ( n −2) there exists some bounded domain Ω with nontrivial topology (in the sense of Bahri and Coron) such that the above problem has only the solution u ≡0.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0022123683710645; http://dx.doi.org/10.1006/jfan.1993.1064; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=38249001987&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0022123683710645; https://api.elsevier.com/content/article/PII:S0022123683710645?httpAccept=text/xml; https://api.elsevier.com/content/article/PII:S0022123683710645?httpAccept=text/plain; https://dx.doi.org/10.1006/jfan.1993.1064
Elsevier BV
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