Singular elliptic problems with unbalanced growth and critical exponent
نویسندگان
چکیده
منابع مشابه
Elliptic Equations with Critical Exponent
where As3 is the Laplace-Beltrami operator on B' . Let 0* C (0, 7r) be the radius o r B ' , i.e., the geodesic distance of the North pole to OBq The values 0 < 0* < 7r/2 correspond to a spherical cap contained in the Northern hemisphere, 0* -7r/2 corresponds to B ~ being the Northern hemisphere and the values rr/2 < 0* < ~c correspond to a spherical cap which covers the Northern hemisphere. Fin...
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where B1 = {x ∈ RN | |x| < 1} is the unit ball in RN (N ≥ 3), λ, μ > 0, 2∗ := 2N/(N − 2). When μ < 0, this problem has been considered by many authors recently (cf. [5, 6, 7, 8]). But when μ > 0, this problem has not been considered as far as we know. In fact, the existence of nontrivial solution for (1.1) when μ > 0 is an open problem which was imposed in [7]. In this paper, we get the followi...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2020
ISSN: 0951-7715,1361-6544
DOI: 10.1088/1361-6544/ab81ed