An alternate variational principle for $\Delta u-u+\mid u\mid ^{r-1}\textrm {sgn} u=0$
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- by Charles V. Coffman PDF
- Proc. Amer. Math. Soc. 87 (1983), 666-670 Request permission
Abstract:
An alternate variational principle for the equation in the title has been proposed by H. A. Levine. We analyse the relation between this principle and the Rayleigh quotient that has been used previously for the variational study of this problem in ${R^N}$. The main result is an existence theorem for ${W^{1,2}}({R^N})$-solutions of the variational problem posed by Levine.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 666-670
- MSC: Primary 35J60; Secondary 35J20
- DOI: https://doi.org/10.1090/S0002-9939-1983-0687637-X
- MathSciNet review: 687637