Provenzano, LuigiStubbe, Joachim2019-01-252019-01-252019-01-252019-01-0110.4171/JST/250https://infoscience.epfl.ch/handle/20.500.14299/154122WOS:000455439300012We present upper and lower bounds for Steklov eigenvalues for domains in RN+1 with C-2 boundary compatible with the Weyl asymptotics. In particular, we obtain sharp upper bounds on Riesz-means and the trace of corresponding Steklov heat kernel. The key result is a comparison of Steklov eigenvalues and Laplacian eigenvalues on the boundary of the domain by applying Pohozaev-type identities on an appropriate tubular neigborhood of the boundary and the min-max principle. Asymptotically sharp bounds then follow from bounds for Riesz-means of Laplacian eigenvalues.Mathematics, AppliedMathematicssteklov eigenvalue problemlaplace-beltrami operatoreigenvalue boundsweyl eigenvalue asymptoticsriesz-meansmin-max principledistance to the boundarytubular neighborhoodspectral stabilityinequalitiesconvergencemanifoldslaplacianoperatorstext::journal::journal article::research article