Existence and Nonuniqueness of Solutions to a Robin Boundary Problem for Semilinear Elliptic Equations

Existence and Nonuniqueness of Solutions to a Robin Boundary Problem for Semilinear Elliptic Equations

Year:    1995

Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 4 : pp. 289–296

Abstract

Sufficient conditions for existence and nonuniqueness of radially symmetric solutions to the Robin boundary problem of the form Δu + a(||x||)|u|^{-p} = 0 \qquad in B ⊂ R^N \frac{∂u}{∂n} + λu = -α \qquad on ∂B are obtained.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1995-JPDE-5661

Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 4 : pp. 289–296

Published online:    1995-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Robin boundary problem