Nonlocal problems at nearly critical growth
نویسندگان
چکیده
منابع مشابه
Nonlocal Problems at Nearly Critical Growth
We study the asymptotic behavior of solutions to the nonlocal nonlinear equation (−∆p) u = |u|u in a bounded domain Ω ⊂ R as q approaches the critical Sobolev exponent p∗ = Np/(N − ps). We prove that ground state solutions concentrate at a single point x̄ ∈ Ω and analyze the asymptotic behavior for sequences of solutions at higher energy levels. In the semi-linear case p = 2, we prove that for s...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2016
ISSN: 0362-546X
DOI: 10.1016/j.na.2016.02.012