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1
Concentration on minimal submanifolds for a singularly perturbed neumann problem
Mahmoudi F.
,
Malchiodi A.
ε2
ζn
ψl
εy
cε
µl
lemma
eigenvalues
hσε
tσε
gε
proposition
solutions
βl2
ζi
sε
ωε
equation
functions
function
coordinates
βl
hsε
φj
eigenfunctions
eigenvalue
kε
zero
ε3
φi
ũ2
tsε
corresponding
εk
ηα
ψlh
formula
g̃ε
positive
subsection
βj
variables
ωl
prove
ζj
defined
khσε
consider
denote
equations
Language:
english
File:
PDF, 610 KB
Your tags:
0
/
0
english
2
Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains
Malchiodi A.
ε2
h22
εy1
εx1
ψj
h11
proposition
εk
cε
hσε
λj
tσε
equation
eigenvalues
solutions
αj
ε1
h12
khσε
αj2
sε
û2
ψj0
ε4
function
2y3
equations
remark
ωε
defined
functions
kuk2hσε
theorem
µα
subsection
βk
estimates
uα
f00
iε00
tα
boundary
eigenfunctions
eigenvalue
k2hσε
εl
χε
kukhσε
neumann
ε3
Language:
english
File:
PDF, 509 KB
Your tags:
0
/
0
english
3
Multidimensional boundary-layers for a singularly perturbed Neumann problem
Malchiodi A.
,
Montefusco E.
ωε
solutions
boundary
proposition
εx0
equation
µα
vα
function
layers
eigenvalues
jε
tα
multidimensional
ϕε
equations
uε
εj
remark
eigenvalue
norm
tσε
defined
denote
depending
positive
εk
iε00
solution
sε
theorem
αl
ε2
functions
hα
ûk
φl
define
estimates
perturbed
singularly
cε
gε
neumann
bounded
formula
hσε
tsε
ε1
εn
Language:
english
File:
PDF, 405 KB
Your tags:
0
/
0
english
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