Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Weifeng, Wo"'
In this paper, we investigate Hessian curvature hypersurfaces with prescribed Gauss images. Given geodesically strictly convex bounded domains $\Omega$ in $\mathbb{R}^n$ and $\tilde{\Omega}$ in the unit hemisphere, we prove that there is a strictly c
Externí odkaz:
http://arxiv.org/abs/2412.09159
In this paper, we study the $k$-Hessian curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We first prove the existence of translating solutions with given asymptotic behavior. Then, we prove that for strictly convex initial hyp
Externí odkaz:
http://arxiv.org/abs/2409.07301
Publikováno v:
AIMS Mathematics, Vol 6, Iss 8, Pp 8191-8204 (2021)
In this paper, we study the elliptic system of competitive type with nonhomogeneous terms $ \Delta u = u^pv^q+h_1(x) $, $ \Delta v = u^rv^s+h_2(x) $ in $ \Omega $ with two types of boundary conditions: (Ⅰ) $ u = v = +\infty $ and (SF) $ u = +\infty
Externí odkaz:
https://doaj.org/article/ee9b4a7edb3e4d3882f4643851d24cdf
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. 45:1641-1656
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9543669b6480d186a35de24b7df70b48
https://doi.org/10.1007/s40840-022-01254-8
https://doi.org/10.1007/s40840-022-01254-8
Publikováno v:
Journal of Pseudo-Differential Operators and Applications. 13
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ecbbb53be8644fb985c2d373e4647026
https://doi.org/10.1007/s11868-022-00475-6
https://doi.org/10.1007/s11868-022-00475-6
Publikováno v:
Mathematical Notes. 109:971-979
In this paper, we study the existence, uniqueness and boundary behavior of positive boundary blow-up solutions to the quasilinear system $$\Delta_{\infty}u=a(x)u^{p}v^{q}$$ , $$\Delta_{\infty}v=b(x)u^{r}v^{s}$$ in a smooth bounded domain $$\Omega\sub
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47ec67f9c9721112ec8195a5a7ad5855
https://doi.org/10.1134/s000143462105031x
https://doi.org/10.1134/s000143462105031x
Publikováno v:
Complex Variables and Elliptic Equations. 67:843-855
In this paper, the monotonicity of solutions for fully nonlinear fractional order equations is studied. We establish a narrow region principle in bounded domains. Then using the sliding method, we ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0d815f4a110dc6012c0e2efd75aa3384
https://doi.org/10.1080/17476933.2020.1843449
https://doi.org/10.1080/17476933.2020.1843449
Publikováno v:
AIMS Mathematics, Vol 6, Iss 8, Pp 8191-8204 (2021)
In this paper, we study the elliptic system of competitive type with nonhomogeneous terms $ \Delta u = u^pv^q+h_1(x) $, $ \Delta v = u^rv^s+h_2(x) $ in $ \Omega $ with two types of boundary conditions: (Ⅰ) $ u = v = +\infty $ and (SF) $ u = +\infty
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b28c71191969bc263211654f8a759a1
https://doi.org/10.3934/math.2021474
https://doi.org/10.3934/math.2021474
Publikováno v:
Archiv der Mathematik. 115:99-110
In this paper, we shall investigate a semilinear elliptic boundary blow-up problem $$\Delta u=a(x)|u|^{p-1}u+h(x)$$ in $$\Omega $$ and $$u|_{\partial \Omega }=\infty $$, where $$\Omega $$ is a smooth bounded domain of $$\mathbb {R}^{N}$$. The weight
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::482fdf45eeff8394d15582e3321df702
https://doi.org/10.1007/s00013-019-01432-4
https://doi.org/10.1007/s00013-019-01432-4
Publikováno v:
Proceedings of the American Mathematical Society. 147:2661-2671
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b55754a4edae8fea40dae19a563d66b0
https://doi.org/10.1090/proc/13886
https://doi.org/10.1090/proc/13886