Well-posed elliptic Neumann problems involving irregular data and domains |
| |
| Authors: | Angelo Alvino Andrea Cianchi Vladimir G. Maz'ya Anna Mercaldo |
| |
| Affiliation: | 1. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli “Federico II”, Complesso Monte S. Angelo, Via Cintia, 80126 Napoli, Italy;2. Dipartimento di Matematica e Applicazioni per l''Architettura, Università di Firenze, Piazza Ghiberti 27, 50122 Firenze, Italy;3. Department of Mathematical Sciences, M&O Building, University of Liverpool, Liverpool L69 3BX, UK;4. Department of Mathematics, Linköping University, SE-581 83 Linköping, Sweden |
| |
| Abstract: | Non-linear elliptic Neumann problems, possibly in irregular domains and with data affected by low integrability properties, are taken into account. Existence, uniqueness and continuous dependence on the data of generalized solutions are established under a suitable balance between the integrability of the datum and the (ir)regularity of the domain. The latter is described in terms of isocapacitary inequalities. Applications to various classes of domains are also presented. |
| |
| Keywords: | 35J25 35B45 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
