Abstract
Approximations are obtained for the eigenvalues yielding radial solutions of the Dirichlet problem for −Δu = λu + 3u 5 in the unit ball in R 3 the exponent “5” being critical for Sobolev embedding. Nodal solutions are considered as well as positive ones.
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© 1992 Springer Science+Business Media New York
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Atkinson, F.V. (1992). Higher Approximations to Eigenvalues for a Nonlinear Elliptic Problem. In: Lloyd, N.G., Ni, W.M., Peletier, L.A., Serrin, J. (eds) Nonlinear Diffusion Equations and Their Equilibrium States, 3. Progress in Nonlinear Differential Equations and Their Applications, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0393-3_3
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DOI: https://doi.org/10.1007/978-1-4612-0393-3_3
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6741-6
Online ISBN: 978-1-4612-0393-3
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