Calculus of variations on locally finite graphs
نویسندگان
چکیده
Let $$G=(V,E)$$ be a locally finite graph. Firstly, using calculus of variations, including direct method variation and the mountain-pass theory, we get sequences solutions to several local equations on G (the Schrödinger equation, mean field Yamabe equation). Secondly, derive uniform estimates for those solution sequences. Finally, obtain global by extracting convergent sequence solutions. Our can described as variational from global.
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ژورنال
عنوان ژورنال: Revista Matematica Complutense
سال: 2021
ISSN: ['1696-8220', '1139-1138', '1988-2807']
DOI: https://doi.org/10.1007/s13163-021-00405-y