相关期刊:《Journal of Mathematical Research with Applications》《Science China Mathematics》《Advances in Applied Mathematics and Mechanics》《Science Bulletin》更多>>
We prove the existence of multiple solutions of an elliptic equation with critical Sobolev growth and critical Hardy potential on compact Riemannian manifolds.
Our work was supported by the Natural Science Foundation of JiangSu Province(BK201 51160);Six Talent Peaks Project in Jangsu Province(2016-JY-081);the Nurturing Project of Xuzhou University of Technology(XKY2017113).
In this paper,we consider an elliptic equation with exponential nonlinearities and singular term.By constructing the corresponding variational framework,and using a Singular Trudinger-Moser inequality due to Li,Mounta...
In this paper, the Dirichlet problem in the vertical half-band for the degenerated elliptic equation with singular coefficient and spectral parameter is investigated. Using the Hankel transformation and the method of ...
The first part of this paper is devoted to study the existence of solution for nonlinear p(x) elliptic problem A(u) =u in Ω, u = 0 on Ω, with a right-hand side measure, where Ω is a bounded open set of RN, N ...
A non lipschitzian nonlinear elliptic equation is reviewed and results of existence, uniqueness, positivity and classification are proved using direct methods derived from the equation.
Existence of positive solutions of a class of quasi-linear elliptic equation with a gradient term is obtained by using super-solution and sub-solution method. In par- ticular, we study the asymptotic behavior of the s...
In this work, we study the following nonlinear homogeneous Neumann boundary value problemβ (u) -diva (x, 7u) f in fΩ, a (x, u). η= 0 on Ω, where Ω is a smooth bounded open domain in RN, N ≥ 3 with...
This paper investigates sub-linear elliptic equations on self-similar fractal sets. With an appropriately defined Laplacian, we obtain the existence of nontrivial solutions of sub-linear elliptic equations -△u=λu- a...
We consider the problem of whether the equation △u = p(x)f(u) on RN, N ≥ 3, has a positive solution for which lim |x|→∞(x) = ∞ where f is locally Lipschitz continuous, positive, and nondecreasing on (0,o...
In this paper, by establishing the boundedness results of singular integral operators and linear commutators, we obtain the global regularity, in homogeneous Morrey-Herz spaces, of strong solutions to nondivergence el...