Results 101 to 110 of about 4,712 (139)
Nonclassical Solutions of Fully Nonlinear Elliptic Equations [PDF]
Geom. Func. An. 17 (2007), 1283-1296, 2009 We prove the existence of non-smooth solutions to fully nonlinear uniformly elliptic equations.
arxiv
Expanding Ricci solitons with pinched Ricci curvature [PDF]
arXiv, 2010 In this paper, we prove that expanding gradient Ricci solitons with (positively) pinched Ricci curvature are trivial ones. Namely, they are either compact or flat.
arxiv
Fractional p-eigenvalues [PDF]
arXiv, 2013 We discuss some basic properties of the eigenfunctions of a class of nonlocal operators whose model is the fractional p-Laplacian.
arxiv
On Cauchy–Liouville-type theorems
Advances in Nonlinear Analysis, 2017 In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Araya Ataklti, Mohammed Ahmed
doaj +1 more source
Non-polynomial entire solutions to $σ_{k}$ equations [PDF]
arXiv, 2015 For $2k \leq n+1$, we exhibit non-polynomial solutions to the Hessian equation \[ \sigma_{k}(D^{2}u)=1 \] on all of $\mathbb{R}^{n}.$
arxiv
Concave-convex nonlinearities for some nonlinear fractional equations involving the Bessel operator [PDF]
arXiv, 2016 We prove some existence results for a class of nonlinear fractional equations driven by a nonlocal operator.
arxiv
Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations
Advances in Nonlinear Analysis, 2016 The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional p-Laplacian operator in ℝN.
Pucci Patrizia +2 more
doaj +1 more source
Some multi-valued solutions to Monge-Ampere equations [PDF]
arXiv, 2005 We construct several types of multi-valued solutions to the Monge-Ampere equation in higher dimensions.
arxiv
Existence of standing waves for quasi-linear Schrödinger equations on Tn
Advances in Nonlinear Analysis, 2019 This paper is devoted to the study of the existence of standing waves for a class of quasi-linear Schrödinger equations on Tn with dimension n ≥ 3. By construction of a suitable Nash-Moser-type iteration scheme, we overcome the clusters of “small divisor”
Zhao Xin, Yan Weiping
doaj +1 more source
Starshaped compact hypersurfaces with prescribed m-th mean curvature in hyperbolic space [PDF]
arXiv, 2005 We study the existence of starshaped compact hypersurfaces with prescribed m-th mean curvature in hyperbolic space.
arxiv