CRITICAL AND SUBCRITICAL FRACTIONAL PROBLEMS WITH VANISHING POTENTIALS

CRITICAL AND SUBCRITICAL FRACTIONAL PROBLEMS WITH VANISHING POTENTIALS
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DOI:
10.1142/s0219199715500637
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发表时间:
2014-10
影响因子:
1.6
通讯作者:
'O JoaoMarcosdo;O. Miyagaki;M. Squassina
'O JoaoMarcosdo;O. Miyagaki;M. Squassina
中科院分区:
数学2区
文献类型:
--
作者:
'O JoaoMarcosdo;O. Miyagaki;M. Squassina

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研究了一类具有分数阶扩散、临界幂非线性项和次临界项的非线性非自治标量场方程。所涉及的潜力允许在无穷远处消失的行为。这个问题是在整个空间和紧凑性的问题必须解决。
We investigate a class of nonlinear nonautonomous scalar field equations with fractional diffusion, critical power nonlinearity and a subcritical term. The involved potentials are allowed for vanishing behavior at infinity. The problem is set on the whole space and compactness issues have to be tackled.