Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Maoding Zhen"'
Publikováno v:
Bulletin of Mathematical Sciences, Vol 14, Iss 02 (2024)
We study the nonlinear coupled Kirchhoff system with purely Sobolev critical exponent. By using appropriate transformation, we get one equivalent system involving a critical Schrödinger system and an algebraic system. Through solving the critical Sc
Externí odkaz:
https://doaj.org/article/3b1e9af11044428cb1ce1dd2a08115b8
Multiple positive solutions for nonlinear coupled fractional Laplacian system with critical exponent
Publikováno v:
Boundary Value Problems, Vol 2018, Iss 1, Pp 1-25 (2018)
Abstract In this paper, we study the following critical system with fractional Laplacian: {(−Δ)su+λ1u=μ1|u|2∗−2u+αγ2∗|u|α−2u|v|βin Ω,(−Δ)sv+λ2v=μ2|v|2∗−2v+βγ2∗|u|α|v|β−2vin Ω,u=v=0in RN∖Ω, $$\textstyle\begin{cas
Externí odkaz:
https://doaj.org/article/2e33578753c54d0580ab51800baaeb8e
Publikováno v:
SIAM Journal on Mathematical Analysis; 2024, Vol. 56 Issue 4, p4375-4414, 40p
Publikováno v:
Applied Mathematics & Optimization. 88
In this paper, we construct the solutions to the following nonlinear Schrödinger system $$\begin{aligned} {\left\{ \begin{array}{ll} -\epsilon ^{2}\Delta u+P(x)u= \mu _{1} u^{p}+\beta u^{\frac{p-1}{2}}v^{\frac{p+1}{2}} \ \ \ \text {in} \ \ \mathbb {
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6fdf6cc4bdd988304d32f6a4254c871f
https://doi.org/10.1007/s00245-023-09974-4
https://doi.org/10.1007/s00245-023-09974-4
Publikováno v:
Journal of Differential Equations. 314:56-127
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4583255a3a941ee1461f322f0eb3a0cd
https://doi.org/10.1016/j.jde.2022.01.018
https://doi.org/10.1016/j.jde.2022.01.018
Autor:
MAODING ZHEN1,2 maodingzhen@163.com
Publikováno v:
Fixed Point Theory. 2021, Vol. 22 Issue 1, p407-430. 24p.
Autor:
Maoding Zhen, Meihua Yang
Publikováno v:
Complex Variables and Elliptic Equations. 67:1326-1351
In this paper, we investigate the multiplicity of solutions for Kirchhoff fractional p-Laplacian system in bounded domains: ∑ i = 1 k [ u i ] s , p p θ − 1 ( − Δ ) p s u j ( x ) = λ j f j ( x ) | u...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba8da405c8e27d95f821cc349bd10f89
https://doi.org/10.1080/17476933.2020.1870453
https://doi.org/10.1080/17476933.2020.1870453
Autor:
Maoding Zhen, Binlin Zhang
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:1601-1614
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b378bbb8f3ffcdb570add11fd612b8aa
https://doi.org/10.1002/mma.6862
https://doi.org/10.1002/mma.6862
Autor:
Maoding Zhen, Binlin Zhang
Publikováno v:
Complex Variables and Elliptic Equations. 66:1731-1754
In this paper, we consider a fractional p-Laplacian system with both concave–convex nonlinearities and sign-changing weight functions in bounded domains: ( − Δ ) p s u = λ f ( x ) | u | q − 2 u + 2...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3446191e302f5af62f4d03dd46033c9
https://doi.org/10.1080/17476933.2020.1779237
https://doi.org/10.1080/17476933.2020.1779237
Publikováno v:
Communications on Pure & Applied Analysis. 18:237-253
In this paper, we study the following critical system with fractional Laplacian: \begin{equation*} \begin{cases} (-\Delta)^{s}u= \mu_{1}|u|^{2^{\ast}-2}u+\frac{\alpha\gamma}{2^{\ast}}|u|^{\alpha-2}u|v|^{\beta} \ \ \ \text{in} \ \ \mathbb{R}^{n}, (-\D
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::463498ad4f62543a10b933dcc2a6e6ec
https://doi.org/10.3934/cpaa.2019013
https://doi.org/10.3934/cpaa.2019013