Well-posed elliptic Neumann problems involving irregular data and domains

• 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. (C) 2010 Elsevier Masson SAS. All rights reserved.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Non-linear elliptic equations

Neumann problems

Generalized solutions

A priori estimates

Stability estimates

Capacity

Perimeter

Rearrangements

MATHEMATICS

MATEMATIK

Publication and Content Type

ref (subject category)

art (subject category)