Multiple positive radial solutions for Neumann elliptic systems with gradient dependence
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.5143
Abstract: We provide new results on the existence, non-existence and multiplicity of non-negative radial solutions for semilinear elliptic systems with Neumann boundary conditions on an annulus. Our approach is topological and relies on the classical fixed… read more here.
Keywords: neumann elliptic; solutions neumann; multiple positive; positive radial ... See more keywords
Dirichlet-to-Neumann and elliptic operators on C1+-domains: Poisson and Gaussian bounds
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.04.034
Abstract: We prove Poisson upper bounds for the heat kernel of the Dirichlet-to-Neumann operator with variable H{\"o}lder coefficients when the underlying domain is bounded and has a C 1+$\kappa$-boundary for some $\kappa$ > 0. We also… read more here.
Keywords: neumann elliptic; domains poisson; operators domains; poisson gaussian ... See more keywords