Brezis–Nirenberg problem

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns critical Sobolev exponent
semilinear elliptic equations
gptkbp:field partial differential equations
nonlinear analysis
https://www.w3.org/2000/01/rdf-schema#label Brezis–Nirenberg problem
gptkbp:involves gptkb:Laplace_operator
critical nonlinearity
gptkbp:namedAfter gptkb:Louis_Nirenberg
gptkb:Haïm_Brezis
gptkbp:publishedIn gptkb:Communications_on_Pure_and_Applied_Mathematics
gptkbp:relatedTo gptkb:Sobolev_embedding_theorem
gptkbp:result existence and nonexistence of positive solutions
gptkbp:significance influential in critical point theory
gptkbp:studies Dirichlet boundary value problem
gptkbp:yearProposed 1983
gptkbp:bfsParent gptkb:Haïm_Brezis
gptkbp:bfsLayer 5