Results 51 to 60 of about 269 (76)

Nahm's equations and free-boundary problems [PDF]

arXiv, 2007
This paper is a discussion of relations between some free-boundary problems and infinite dimensional Lie groups; particularly a version of Nahm's equations for the group of Hamiltonian diffeomorphisms in two dimensions.
arxiv  

Existence results for quasilinear elliptic boundary value problems via topological methods [PDF]

arXiv, 2008
In this paper, existence and localization results of $C^1$-solutions to elliptic Dirichlet boundary value problems are established. The approach is based on the nonlinear alternative of Leray-Schauder.
arxiv  

Hypersurfaces of Constant Curvature in Hyperbolic Space I [PDF]

arXiv, 2008
We investigate the problem of finding complete strictly convex hypersurfaces of constant curvature in hyperbolic space with a prescribed asymptotic boundary at infinity for a general class of curvature functions.
arxiv  

A prescribed Gauss-Kronecker curvature problem on the product of unit spheres [PDF]

IMRN, Vol 2010, No.23, pp 4399-4433, 2009
The present paper discusses that a prescribed Gauss-Kronecker curvature problem on the product of unit spheres.
arxiv  

Ressonant elliptic problems under Cerami condition [PDF]

arXiv, 2012
We establish existence and multiplicity of solutions for a elliptic resonant elliptic problem under Dirichlet boundary conditions.
arxiv  

Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity [PDF]

arXiv, 2013
A result of existence of a nonnegative and a nontrivial solution is proved via critical point theorems for non smooth functionals. The equation considered presents a convex part and a nonlinearity which changes sign.
arxiv  

Boundary optimal control of time-space SIR model with nonlinear Robin boundary condition. [PDF]

Int J Dyn Control, 2022
Essoufi EH, Zafrar A.
europepmc   +1 more source

Limit profiles and the existence of bound-states in exterior domains for fractional Choquard equations with critical exponent

Advances in Nonlinear Analysis
This article is devoted to studying the existence of positive solutions to the following fractional Choquard equation: (−Δ)su+u=∫Ω∣u(y)∣p∣x−y∣N−αdy∣u∣p−2u+ε∫Ω∣u(y)∣2α,s*∣x−y∣N−αdy∣u∣2α,s*−2u,inΩ,u=0,onRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+u=
Ye Fumei, Yu Shubin, Tang Chun-Lei
doaj   +1 more source

Multiple solutions for Dirichlet nonlinear BVPs involving fractional Laplacian [PDF]

arXiv, 2013
The existence of at least two solutions to superlinear integral equation in cone is proved using the Krasnosielskii Fixed Point Theorem. The result is applied to the Dirichlet BVPs with the fractional Laplacian.
arxiv  

The dimension of the boundary of super-Brownian motion [PDF]

arXiv, 2017
We show that the Hausdorff dimension of the boundary of $d$-dimensional super-Brownian motion is $0$, if $d=1$, $4-2\sqrt2$, if $d=2$, and $(9-\sqrt{17})/2$, if $d=3$.
arxiv