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Showing 1 to 2 of 2 for “"Steklov eigenvalue problems"”.
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Steklov Eigenvalue Problems on Nearly Spherical and Annular Domains
<p>We consider Steklov eigenvalues on nearly spherical and nearly annular domains in d dimensions where d is any given positive integer. By using the Green-Beltrami identity for spherical harmonic functions, the derivatives of Steklov eigenvalues with respect to the domain perturbation parameter …
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EXTERIOR REGULARIZED HARMONIC AND HARMONIC FUNCTIONS
… space, via the sequence of exterior harmonic Steklov eigenvalues and associated eigenfunctions. The new space is strictly larger than the standard Sobolev-Hilbert H-space, as it only needs square integrability of the gradients of the functions involved. Our results generalize exactly certain …