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A new approach to queer differential equations
Author(s) -
Laurence Peter,
Stredulinsky E. W.
Publication year - 1985
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160380306
Subject(s) - mathematics , subharmonic function , bounded function , regular polygon , queer , image (mathematics) , mathematical analysis , geometry , computer science , artificial intelligence , psychology , psychoanalysis
We study the variational problemWhere Ψ* is the increasing rearrangement of Ψ. An approximate problem is introduced which involves a variational problem with n free boundaries ( n → ∞). Various estimates are established. In particular, when Ω is convex we show that the solution to the approximate problem is superharmonic and has bounded gradient.