V. Maz'ya, “Solvability criteria for the Neumann <nobr>$p$</nobr>-Laplacian with irregular data”, Algebra i Analiz, 2018, Volume 30, Issue 3,Pages <nobr>129

This article is cited in 2 papers

Research Papers

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

Abstract: 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.

Keywords: level surface, weak solution, Poincaré inequality, isocapacitary function.

Received: 04.12.2017

Language: English