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Publikováno v:
Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 321-356 (2021)
In this paper, we establish the second boundary behavior of the unique strictly convex solution to a singular Dirichlet problem for the Monge-Ampère equation det ( D 2 u ) = b ( x ) g ( − u ) , u < 0 in Ω and u = 0 on ∂ Ω , $$\mbox{ det}(D^{2}
Publikováno v:
Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 198-211 (2021)
Apartial discrete Dirichlet boundary value problem involving mean curvature operator is concerned in this paper. Under proper assumptions on the nonlinear term, we obtain some feasible conditions on the existence of multiple solutions by the method o
Publikováno v:
Nonautonomous Dynamical Systems, Vol 8, Iss 1, Pp 27-45 (2021)
In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces. Using the recent approach by Chueshov and Lasiecka in [21], we prove
Publikováno v:
Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 1201-1221 (2021)
We consider a class of semilinear equations with an absorption nonlinear zero order term of power type, where elliptic condition is given in terms of Gauss measure. In the case of the superlinear equation we introduce a suitable definition of solutio
Publikováno v:
Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 1039-1060 (2021)
We consider the following p-harmonic problem Δ ( | Δ u | p − 2 Δ u ) + m | u | p − 2 u = f ( x , u ) , x ∈ R N , u ∈ W 2 , p ( R N ) , $$\begin{array}{} \displaystyle \left\{ \displaystyle\begin{array}{ll} \displaystyle {\it\Delta} (|{\it\
Autor:
Zhipeng Yang, Fukun Zhao
Publikováno v:
Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 732-774 (2020)
In this paper, we study the singularly perturbed fractional Choquard equationε2s(−Δ)su+V(x)u=εμ−3(∫R3|u(y)|2μ,s∗+F(u(y))|x−y|μdy)(|u|2μ,s∗−2u+12μ,s∗f(u))inR3,$$\begin{equation*}\varepsilon^{2s}(-{\it\Delta})^su+V(x)u=\varepsil
Publikováno v:
Nonautonomous Dynamical Systems, Vol 7, Iss 1, Pp 126-139 (2020)
In this paper, we prove that the controllability of time varying linear system is preserved if we add impulses, delay and nonlocal conditions on it. In order to do that, we assume some conditions on the non-linear terms and apply the Rothe’s fixed
Autor:
Yuanhong Wei, Ying Wang
Publikováno v:
Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 494-500 (2020)
Our purpose of this paper is to consider Liouville property for the fractional Lane-Emden equation ( − Δ ) α u = u p i n Ω , u = 0 i n R N ∖ Ω , $$\begin{array}{} \displaystyle (-{\it\Delta})^\alpha u = u^p\quad {\rm in}\quad {\it\Omega},\qqu
In this paper, we study asymptotic behavior of solutions to obstacle problems for p-Laplacians as p → ∞ {p\to\infty} . For the one-dimensional case and for the radial case, we give an explicit expression of the limit. In the n-dimensional case, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c264c2a414bac6c8878ac4c9c343c46
http://hdl.handle.net/11573/1399382
http://hdl.handle.net/11573/1399382
Autor:
Xingchang Wang, Runzhang Xu
Publikováno v:
Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 261-288 (2020)
In this paper, the initial boundary value problem for a nonlocal semilinear pseudo-parabolic equation is investigated, which was introduced to model phenomena in population dynamics and biological sciences where the total mass of a chemical or an org