Nonlinear Steklov problems on nonsymmetric domains

J. M. Cushing

doi:10.1016/0022-247X(73)90289-8

Nonlinear Steklov problems on nonsymmetric domains

J. M. Cushing

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A way of formulating nonlinear Steklov problems on nonsymmetric domains as an operator equation u = μPu, where P is completely continuous, is given. Local and global existence theorems then follow from standard techniques; these results extend earlier results for symmetric domains and equations with symmetric coefficients. Some miscellaneous results are given concerning the nature of the solution branches.

Original language	English (US)
Pages (from-to)	743-753
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	43
Issue number	3
DOIs	https://doi.org/10.1016/0022-247X(73)90289-8
State	Published - Sep 1973

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/0022-247X(73)90289-8

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abstract = "A way of formulating nonlinear Steklov problems on nonsymmetric domains as an operator equation u = μPu, where P is completely continuous, is given. Local and global existence theorems then follow from standard techniques; these results extend earlier results for symmetric domains and equations with symmetric coefficients. Some miscellaneous results are given concerning the nature of the solution branches.",

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AB - A way of formulating nonlinear Steklov problems on nonsymmetric domains as an operator equation u = μPu, where P is completely continuous, is given. Local and global existence theorems then follow from standard techniques; these results extend earlier results for symmetric domains and equations with symmetric coefficients. Some miscellaneous results are given concerning the nature of the solution branches.

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Nonlinear Steklov problems on nonsymmetric domains

Abstract

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