V. Maz'ya, “Solvability criteria for the Neumann $p$-Laplacian with irregular data”, Алгебра и анализ, 2018, том 30, выпуск 3,страницы 129

Эта публикация цитируется в 2 статьях

Статьи

Solvability criteria for the Neumann $p$-Laplacian with irregular data

V. Maz'ya^ab

^a Department of Mathematical Sciences, University of Liverpool, M&O Building, Liverpool, L69 3BX, UK
^b Department of Mathematics, Linköping University, SE-58183, Linköping, Sweden

Аннотация: Necessary and sufficient conditions are found for the unique solvability of the Neumann problem for the $p$-Laplace operator. They characterize both the domain and measures on the right-hand sides.

Ключевые слова: level surface, weak solution, Poincaré inequality, isocapacitary function.

Поступила в редакцию: 04.12.2017

Язык публикации: английский