Affiliation:
1. Teaching and Research Department of Mathematics and Physics, Fujian Jiangxia University, Fuzhou 350108, China
2. Department of Basic Teaching and Research, Yango University, Fuzhou 350015, China
Abstract
We are concerned with the following nonlocal problem involving critical Sobolev exponent
where
is a smooth bounded domain in
,
,
,
, and
are positive parameters. We prove the existence of two positive solutions and obtain uniform estimates of extremal values for the problem. Moreover, the blow-up and the asymptotic behavior of these solutions are also discussed when
and
. In the proofs, we apply variational methods.
Funder
Natural Science Foundation of Fujian Province
Reference30 articles.
1. Positive solutions for a quasilinear elliptic equation of Kirchhoff type
2. An elastic metamaterial with simultaneously negative mass density and bulk modulus;X. N. Liu;Applied Physics Letters,2011
3. Existence and multiplicity of nontrivial solutions for a nonlocal problem;G. S. Yin;Boundary Value Problem,2015
4. Ground state sign-changing solutions for a class of nonlocal problem
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