Nonhomogeneous fractional p-Kirchhoff problems involving a critical nonlinearity
This paper is concerned with the existence of solutions for a kind of nonhomogeneous critical p-Kirchhoff type problem driven by an integro-differential operator L p K . In particular, we investigate the equation: M �ZZ R2n |v(x) − v(y)| p |x − y| n+ps dxdy� L p K v(x) = µg(x)|v| q−2 v + |v| p s −2...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Kirchhoff problémák, Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2019.1.41 |
| Online Access: | http://acta.bibl.u-szeged.hu/62119 |
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| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2019.1.41 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Zuo Jiabin | |
| 245 | 1 | 0 | |a Nonhomogeneous fractional p-Kirchhoff problems involving a critical nonlinearity |h [elektronikus dokumentum] / |c Zuo Jiabin |
| 260 | |c 2019 | ||
| 300 | |a 1-15 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a This paper is concerned with the existence of solutions for a kind of nonhomogeneous critical p-Kirchhoff type problem driven by an integro-differential operator L p K . In particular, we investigate the equation: M �ZZ R2n |v(x) − v(y)| p |x − y| n+ps dxdy� L p K v(x) = µg(x)|v| q−2 v + |v| p s −2 v + µ f(x) in R n where g(x) > 0, and f(x) may change sign, µ > 0 is a real parameter, 0 < s < 1 < p < ∞, dimension n > ps, 1 < q < p < p s , p s = np n−ps is the critical exponent of the fractional Sobolev space W s,p K (Rn ). By exploiting Ekeland’s variational principle, we show the existence of non-trivial solutions. The main feature and difficulty of this paper is the fact that M may be zero and lack of compactness at critical level L p s (Rn Our conclusions improve the related results on this topic. | |
| 695 | |a Kirchhoff problémák, Differenciálegyenlet | ||
| 700 | 0 | 1 | |a An Tianqing |e aut |
| 700 | 0 | 1 | |a Ye Guoju |e aut |
| 700 | 0 | 1 | |a Qiao Zhenhua |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/62119/1/ejqtde_2019_041.pdf |z Dokumentum-elérés |