A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis
نویسندگان
چکیده
منابع مشابه
A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis
The aim of this paper is to prove the existence of weak solutions to the equation ∆u+u = 0 which are positive in a domain Ω ⊂ R , vanish at the boundary, and have prescribed isolated singularities. The exponent p is required to lie in the interval (N/(N − 2), (N + 2)/(N − 2)). We also prove the existence of solutions to the equation ∆u+ u = 0 which are positive in a domain Ω ⊂ R and which are s...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1996
ISSN: 0022-040X
DOI: 10.4310/jdg/1214458975