Mathematics – Analysis of PDEs
Scientific paper
2009-06-08
Mathematics
Analysis of PDEs
Scientific paper
Nonlinear 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.
Alvino Angelo
Cianchi Andrea
Maz'ya Vladimir
Mercaldo Anna
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