Boundary value problems for quasi-linear elliptic second order equations in unbounded cone-like domains

Boundary value problems for quasi-linear elliptic second order equations in unbounded cone-like domains

We study the behaviour of weak solutions (as well as their gradients) of boundary value problems for quasi-linear elliptic divergence equations in domains extending to infinity along a cone.

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Veröffentlicht in:Central European journal of mathematics 2012-12, Vol.10 (6), p.2051-2072
Hauptverfasser: Borsuk, Mikhail V., Wiśniewski, Damian
Format: Artikel
Sprache:eng
Schlagworte:
35B05
35B45
35B65
35D30
35J66
Algebra
Boundary value problems
Divergence
Domains
Elliptic divergence quasi-linear equations
Elliptic functions
Geometry
Lie Groups
Mathematical analysis
Mathematics
Mathematics and Statistics
Number Theory
Probability Theory and Stochastic Processes
Research Article
Topological Groups
Unbounded domains
Weak solutions
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Beschreibung
Zusammenfassung:We study the behaviour of weak solutions (as well as their gradients) of boundary value problems for quasi-linear elliptic divergence equations in domains extending to infinity along a cone.
ISSN:1895-1074
2391-5455
1644-3616
2391-5455
DOI:10.2478/s11533-012-0127-2