Results 91 to 100 of about 1,746 (127)
The Gelfand problem for the 1-homogeneous p-Laplacian
Advances in Nonlinear Analysis, 2017 In this paper, we study the existence of viscosity solutions to the Gelfand problem for the 1-homogeneous p-Laplacian in a bounded domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}}, that is, we deal ...
Carmona Tapia José +2 more
doaj +1 more source
Symmetry of singular solutions of degenerate quasilinear elliptic equations [PDF]
Rend. Istit. Mat. Univ. Trieste 39 (2007), 2007 We prove radial symmetry of singular solutions to an overdetermined boundary value problem for a class of degenerate quasilinear elliptic equations.
arxiv
On a nonlinear Robin problem with an absorption term on the boundary and L1 data
Advances in Nonlinear AnalysisWe deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della +2 more
doaj +1 more source
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
Perturbative solutions to the extended constant scalar curvature equations on asymptotically hyperbolic manifolds [PDF]
arXiv, 2008 We prove local existence of solutions to the extended constant scalar curvature equations introduced by A. Butscher, in the asymptotically hyperbolic setting. This gives a new local construction of asymptotically hyperbolic metrics with constant scalar curvature.
arxiv
Doubly Critical Problems Involving Fractional Laplacians in ℝN
Advanced Nonlinear Studies, 2017 In this paper, we show the existence of nontrivial solutions for doubly critical nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians.
Yang Jianfu, Wu Fengjie
doaj +1 more source
Parameter-dependent Edge Operators [PDF]
arXiv, 2009 We study parameter-dependent operators on a manifold with edge and construct new classes of elliptic elements in the corner calculus on an infinite cone with a singular ...
arxiv
On viscosity and weak solutions for non-homogeneous p-Laplace equations
Advances in Nonlinear Analysis, 2017 In this manuscript, we study the relation between viscosity and weak solutions for non-homogeneous p-Laplace equations with lower-order term depending on x, u and ∇u{\nabla u}.
Medina Maria, Ochoa Pablo
doaj +1 more source
New Computable Necessary Conditions for the Regularity Theory of Optimal Transportation [PDF]
arXiv, 2009 We give new computable necessary conditions for a class of optimal transportation problems to have smooth solutions.
arxiv
Wiman and Arima theorems for quasiregular mappings [PDF]
arXiv, 2010 Generalizations of the theorems of Wiman and of Arima on entire functions are proved for spatial quasiregular mappings.
arxiv