Results 121 to 130 of about 3,208 (150)
A new approach to solvability of some elliptic pde's with square integrable boundary data [PDF]
arXiv, 2008 This paper has been withdrawn, and is replaced with paper "Solvability of elliptic systems with square integrable boundary data" by the same authors.
arxiv
Variational problems in fracture mechanics
, 2006 We present some recent existence results for the variational model of crack growth in brittle materials proposed by Francfort and Marigo in 1998. These results, obtained in collaboration with Francfort and Toader, cover the case of arbitrary space ...
Maso, Gianni Dal
core +1 more source
The Perron Method and the Non-Linear Plateau Problem [PDF]
arXiv, 2009 We describe a novel technique for solving the Plateau problem for constant curvature hypersurfaces based on recent work of Harvey and Lawson. This is illustrated by an existence theorem for hypersurfaces of constant Gaussian curvature in $\Bbb{R}^{n+1}$.
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
The non-linear Plateau problem in non-positively curved manifolds [PDF]
arXiv, 2010 Using the Perron method, we prove the existence of hypersurfaces of prescribed special Lagrangian curvature with prescribed boundary inside complete Riemannian manifolds of non-positive curvature.
arxiv
The Regularizing Effect of Lower Order Terms in Elliptic Problems Involving Hardy Potential
Advanced Nonlinear Studies, 2017 We study existence and summability of solutions for elliptic problems with a power-like lower order term and a Hardy potential.We prove that, due to the presence of the lower order term, solutions exist and are more summable under weaker assumptions than
Adimurthi A. +3 more
doaj +1 more source
Linking Solutions for p-Laplace Equations with Nonlinear Boundary Conditions and Indefinite Weight [PDF]
arXiv, 2010 We apply the linking method for cones in normed spaces to p-Laplace equations with various nonlinear boundary conditions. Some existence results are obtained.
arxiv
Heat Kernel estimates for some elliptic operators with unbounded diffusion coefficients [PDF]
arXiv, 2011 We prove heat kernel bounds for the operator (1 + |x|^{\alpha})\Delta in R^N, through Nash inequalities and weighted Hardy inequalities.
arxiv
Advances in Nonlinear Analysis, 2014 In this paper, for more general f, g and a, b, we obtain conditions about the existence and boundary behavior of solutions to boundary blow-up elliptic problems ▵u=a(x)g(u)+b(x)f(u)|∇u|q,x∈Ω,u|∂Ω=+∞$ \triangle u=a(x)g(u)+ b(x) f(u)|\nabla u|^q,\quad x\in
Zhang Zhijun
doaj +1 more source
A limiting case of a theorem of C. Miranda for layer potentials in Schauder spaces [PDF]
arXivThe aim of this paper is to prove a theorem of C.~Miranda for the single and double layer potential corresponding to the fundamental solution of a second order differential operator with constant coefficients in Schauder spaces in the limiting case in which the open set is of class $C^{m,1}$ and the densities are of class $C^{m-1,1}$ for the single ...
arxiv