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On a ▫$p(\cdot)$▫-biharmonic problem with no-flux boundary condition
ID
Boureanu, Maria-Magdalena
(
Avtor
),
ID
Rǎdulescu, Vicenţiu
(
Avtor
),
ID
Repovš, Dušan
(
Avtor
)
PDF - Predstavitvena datoteka,
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(692,01 KB)
MD5: 58EFC624860F931E169EAC1C5CB0A23A
Galerija slik
Izvleček
The study of fourth order partial differential equations has flourished in the last years, however, a ▫$p(\cdot)$▫-biharmonic problem with no-flux boundary condition has never been considered before, not even for constant ▫$p$▫. This is an important step further, since surfaces that are impermeable to some contaminants are appearing quite often in nature, hence the significance of such boundary condition. By relying on several variational arguments, we obtain the existence and the multiplicity of weak solutions to our problem. We point out that, although we use a mountain pass type theorem in order to establish the multiplicity result, we do not impose an Ambrosetti-Rabinowitz type condition, nor a symmetry condition, on our nonlinearity ▫$f$▫.
Jezik:
Angleški jezik
Ključne besede:
variable exponent
,
new variable exponent subspace
,
▫$p(\cdot)$▫-biharmonic operator
,
nonlinear elliptic problem
,
weak solutions
,
existence
,
multiplicity
Vrsta gradiva:
Članek v reviji
Tipologija:
1.01 - Izvirni znanstveni članek
Organizacija:
PEF - Pedagoška fakulteta
FMF - Fakulteta za matematiko in fiziko
Leto izida:
2016
Št. strani:
Str. 2505-2515
Številčenje:
Vol. 72, iss. 9
PID:
20.500.12556/RUL-111106
UDK:
517.956
ISSN pri članku:
0898-1221
DOI:
http://dx.doi.org/10.1016/j.camwa.2016.09.017
COBISS.SI-ID:
17789785
Datum objave v RUL:
24.09.2019
Število ogledov:
1139
Število prenosov:
451
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Objavi na:
Gradivo je del revije
Naslov:
Computers & mathematics with applications
Skrajšan naslov:
Comput. math. appl.
Založnik:
Elsevier
ISSN:
0898-1221
COBISS.SI-ID:
15336965
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