Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
نویسندگان
چکیده
منابع مشابه
Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent
where λ > 0 is a parameter, κ ∈ R is a constant, p = (N + 2)/(N − 2) is the critical Sobolev exponent, and f(x) is a non-homogeneous perturbation satisfying f ∈ H−1(Ω) and f ≥ 0, f ≡ 0 in Ω. Let κ1 be the first eigenvalue of −Δ with zero Dirichlet condition on Ω. Since (1.1)λ has no positive solution if κ ≤ −κ1 (see Remark 1 below), we will consider the case κ > −κ1. Let us recall the results f...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 1991
ISSN: 0294-1449
DOI: 10.1016/s0294-1449(16)30270-0