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Ground state and nodal solutions for a class of double phase problems
ID
Papageorgiou, Nikolaos S.
(
Author
),
ID
Rǎdulescu, Vicenţiu
(
Author
),
ID
Repovš, Dušan
(
Author
)
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Abstract
We consider a double phase problem driven by the sum of the ▫$p$▫-Laplace operator and a weighted ▫$q$▫-Laplacian ▫$(q<p)$▫, with a weight function which is not bounded away from zero. The reaction term is ▫$(p-1)$▫-superlinear. Employing the Nehari method, we show that the equation has a ground state solution of constant sign and a nodal (sign-changing) solution.
Language:
English
Keywords:
double phase operator
,
weight function
,
superlinear reaction
,
Nehari manifold
,
ground state solution
,
nodal solution
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
PEF - Faculty of Education
FMF - Faculty of Mathematics and Physics
Year:
2020
Number of pages:
Str. 1-15
Numbering:
Vol. 71, Iss. 1, art. 15
PID:
20.500.12556/RUL-116614
UDC:
517.956.2
ISSN on article:
0044-2275
DOI:
10.1007/s00033-019-1239-3
COBISS.SI-ID:
18868057
Publication date in RUL:
29.05.2020
Views:
3109
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457
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Title:
Zeitschrift für angewandte Mathematik und Physik
Shortened title:
Z. angew. Math. Phys.
Publisher:
Birkhaeuser Verlag
ISSN:
0044-2275
COBISS.SI-ID:
26662656
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