Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Justino Sánchez"'
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. :1-26
We devote this paper to study semi-stable nonconstant radial solutions of $S_k(D^2u)=w(\left \vert x \right \vert )g(u)$ on the Euclidean space $\mathbb {R}^n$ . We establish pointwise estimates and necessary conditions for the existence of such solu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c5566692ea8be7ad646d1a6fb42cb84e
https://doi.org/10.1017/prm.2022.73
https://doi.org/10.1017/prm.2022.73
Autor:
Justino Sánchez
Publikováno v:
Journal of Differential Equations. 268:1840-1853
We study the long-time behavior of solutions of the $k$-Hessian evolution equation $u_t=S_{k}(D^2 u)$, posed on a bounded domain of the $n$-dimensional space with homogeneous boundary conditions. To this end, we construct a separable solution and we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1285472ea7df40bbc575bab448e618fc
https://doi.org/10.1016/j.jde.2019.09.028
https://doi.org/10.1016/j.jde.2019.09.028
Autor:
Justino Sánchez, Miguel Angel Navarro
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 150:2083-2115
We consider semistable, radially symmetric and increasing solutions of Sk(D2u) = g(u) in the unit ball of ℝn, where Sk(D2u) is the k-Hessian operator of u and g ∈ C1 is a general positive nonlinearity. We establish sharp pointwise estimates for s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::724a59969be39dfaea3bbd6736a986be
https://doi.org/10.1017/prm.2019.14
https://doi.org/10.1017/prm.2019.14
Autor:
Justino Sánchez, Vicente Vergara
Publikováno v:
Journal of Differential Equations. 263:687-708
We consider the problem (1) { S k ( D 2 u ) = λ | x | σ ( 1 − u ) q in B , u 0 in B , u = 0 on ∂ B , where B denotes the unit ball in R n , n > 2 k ( k ∈ N ), λ > 0 , q > k and σ ≥ 0 . We study the existence, multiplicity and uniqueness o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bec6f5c0f7db23f83bea48eeb3b9fd63
https://doi.org/10.1016/j.jde.2017.02.047
https://doi.org/10.1016/j.jde.2017.02.047
Autor:
Justino Sánchez, Miguel Angel Navarro
Publikováno v:
Journal of Mathematical Analysis and Applications. 497:124902
We characterize semistable radial solutions of the equation S k ( D 2 u ) = g ( u ) in B 1 , where B 1 is the unit ball of R n , D 2 u is the Hessian matrix of u , g is a positive C 1 nonlinearity and S k ( D 2 u ) denotes the k-Hessian operator of u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f7dcd107ac61e617e35042f5f2608746
https://doi.org/10.1016/j.jmaa.2020.124902
https://doi.org/10.1016/j.jmaa.2020.124902
Autor:
Justino Sánchez, Vicente Vergara
Publikováno v:
Journal of Differential Equations. 261:797-820
We consider the problem (1) { S k ( D 2 u ) = λ ( 1 − u ) q in B , u 0 in B , u = 0 on ∂ B , where B denotes the unit ball in R n , n > 2 k ( k ∈ N ), λ > 0 and q > k . We study the existence of negative bounded radially symmetric solutions o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e37f72bf1f851619bd3149ed71c97166
https://doi.org/10.1016/j.jde.2016.03.021
https://doi.org/10.1016/j.jde.2016.03.021
The aim of this paper is to deal with the $k$-Hessian counterpart of the Laplace equation involving a nonlinearity studied by Matukuma. Namely, our model is the problem \begin{equation*} (1)\;\;\;\begin{cases} S_k(D^2u)= ��\frac{|x|^{��-2}}{(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c66817cc762806e1fe8afe5d6c1998f
http://arxiv.org/abs/1807.11644
http://arxiv.org/abs/1807.11644
Publikováno v:
Complex Variables and Elliptic Equations. 61:297-314
Using fixed point techniques, we study the existence and multiplicity of positive radial solutions for two classes of nonlocal elliptic systems defined on bounded annular domains or exterior domains. To this end, we reduce our problem to second-order
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1719f0c8b05c9a3b850ae179a0803a09
https://doi.org/10.1080/17476933.2015.1064404
https://doi.org/10.1080/17476933.2015.1064404
Positive solutions for an elliptic equation in an annulus with a superlinear nonlinearity with zeros
Publikováno v:
Mathematische Nachrichten. 287:1131-1141
We study existence, multiplicity, and the behavior, with respect to λ, of positive radially symmetric solutions of −Δu=λh(x,u) in annular domains in RN,N≥2. The nonlinear term has a superlinear local growth at infinity, is nonnegative, and sat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::653118840e6e5fee6155e814d4609be4
https://doi.org/10.1002/mana.201100285
https://doi.org/10.1002/mana.201100285
Autor:
Justino Sánchez, Vicente Vergara
Publikováno v:
ASYMPTOTIC ANALYSIS
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bf2e047ce6c90cf894f152ef9074db1
https://doi.org/10.3233/asy-131180
https://doi.org/10.3233/asy-131180