Results 41 to 50 of about 3,208 (150)
The exterior Dirichlet problem for the homogeneous complex k-Hessian equation
Advanced Nonlinear Studies, 2023 In this article, we consider the homogeneous complex kk-Hessian equation in an exterior domain Cn⧹Ω{{\mathbb{C}}}^{n}\setminus \Omega . We prove the existence and uniqueness of the C1,1{C}^{1,1} solution by constructing approximating solutions.
Gao Zhenghuan, Ma Xinan, Zhang Dekai
doaj +1 more source
, 2013 In this paper, we study the norm inequalities for sublinear operators and their commutators on weighted Morrey spaces. As application, the regularity in the weighted Morrey spaces of strong solutions to nondivergence elliptic equations with VMO ...
S. Shi, Zunwei Fu, Fayou Zhao
semanticscholar +1 more source
Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1031-1045, 2004., 2004 Existence result for strongly nonlinear elliptic equation with a natural growth condition on the nonlinearity is proved.
A. Elmahi, D. Meskine
wiley +1 more source
Advanced Nonlinear Studies, 2023 We consider the asymptotic behavior of solutions to the Monge-Ampère equations with slow convergence rate at infinity and fulfill previous results under faster convergence rate by Bao et al. [Monge-Ampère equation on exterior domains, Calc. Var PDE.
Liu Zixiao, Bao Jiguang
doaj +1 more source
Torsional rigidity and isospectral planar sets [PDF]
arXiv, 2021 We prove that a certain pair of isospectral planar sets are distinguished by torsional rigidity.
arxiv
Strictly positive solutions for one-dimensional nonlinear problems involving the p-Laplacian [PDF]
, 2013 Let $\Omega$ be a bounded open interval, and let $p>1$ and $q\in\left(0,p-1\right) $. Let $m\in L^{p^{\prime}}\left(\Omega\right) $ and $0\leq c\in L^{\infty}\left(\Omega\right) $.
Kaufmann, Uriel, Medri, Ivan
core +2 more sources
Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket
, 2012 Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the existence of a sequence of weak solutions for an eigenvalue Dirichlet problem on the Sierpinski gasket is proved.
G. Bonanno +2 more
semanticscholar +1 more source
Symmetry and concentration behavior of ground state in axially symmetric domains
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1019-1030, 2004., 2004 We let Ω(r) be the axially symmetric bounded domains which satisfy some suitable conditions, then the ground‐state solutions of the semilinear elliptic equation in Ω(r) are nonaxially symmetric and concentrative on one side. Furthermore, we prove the necessary and sufficient condition for the symmetry of ground‐state solutions.
Tsung-Fang Wu
wiley +1 more source
On some classes of generalized Schrödinger equations
Advances in Nonlinear Analysis, 2020 Some classes of generalized Schrödinger stationary problems are studied. Under appropriated conditions is proved the existence of at least 1 + ∑i=2m$\begin{array}{} \sum_{i=2}^{m} \end{array}$ dim Vλi pairs of nontrivial solutions if a parameter involved
Correa Leão Amanda S. S. +3 more
doaj +1 more source
Advances in Nonlinear Analysis, 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 ...
Wan Haitao, Shi Yongxiu, Liu Wei
doaj +1 more source