Results 71 to 78 of about 500 (78)

On nonexistence and existence of positive global solutions to heat equation with a potential term on Riemannian manifolds [PDF]

arXiv, 2019
We reinvestigate nonexistence and existence of global positive solutions to heat equation with a potential term on Riemannian manifolds. Especially, we give a very natural sharp condition only in terms of the volume of geodesic ball to obtain nonexistence results.
arxiv  

An elliptic equation with an indefinite sublinear boundary condition

Advances in Nonlinear Analysis, 2016
We investigate the ...
Ramos Quoirin Humberto, Umezu Kenichiro
doaj   +1 more source

Solutions to the Einstein-scalar field constraint equations with a small TT-tensor [PDF]

arXiv, 2015
In this paper, we prove a far-from-CMC result similar to the ones obtained by Holst, Nagy, Tsogtgerel and Maxwell for the conformal Einstein-scalar field constraint equations on compact Riemannian manifolds with positive (modified) Yamabe invariant.
arxiv  

New solutions for critical Neumann problems in ℝ2

Advances in Nonlinear Analysis, 2017
We consider the elliptic equation -Δ⁢u+u=0{-\Delta u+u=0} in a bounded, smooth domain Ω in ℝ2{\mathbb{R}^{2}} subject to the nonlinear Neumann boundary condition ∂⁡u∂⁡ν=λ⁢u⁢eu2{\frac{\partial u}{\partial\nu}=\lambda ue^{u^{2}}}, where ν denotes the outer
Deng Shengbing, Musso Monica
doaj   +1 more source

Equilibria of point-vortices on closed surfaces [PDF]

arXiv, 2015
We discuss the existence of equilibrium configurations for the Hamiltonian point-vortex model on a closed surface $\Sigma$. The topological properties of $\Sigma$ determine the occurrence of three distinct situations, corresponding to $\mathbb{S}^2$, to $\mathbb{RP}^2$ and to $\Sigma \not=\mathbb{S}^2,\mathbb{RP}^2$. As a by-product, we also obtain new
arxiv  

Intervals of bifurcation points for semilinear elliptic problems

Advances in Nonlinear Analysis
In this article, we study the behavior of multiple continua of solutions to the semilinear elliptic problem −Δu=λf(u),inΩ,u=0,on∂Ω,\left\{\begin{array}{ll}-\Delta u=\lambda f\left(u),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em ...
Tapia José Carmona, Aparicio Antonio J. Martínez, Martínez-Aparicio Pedro J.   +2 more
doaj   +1 more source

Nonlinear elliptic equations with self-adjoint integro-differential operators and measure data under sign condition on the nonlinearity

Advanced Nonlinear Studies
We study the existence problem for semilinear equations (E): −Au = f(⋅, u) + μ, with Borel measure μ and operator A that generates a symmetric Markov semigroup.
Klimsiak Tomasz
doaj   +1 more source

On Isolated Singularities and Generic Regularity of Min-Max CMC Hypersurfaces. [PDF]

J Geom Anal
Bellettini C, Marshall-Stevens K.
europepmc   +1 more source