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Nodal solutions of fourth-order Kirchhoff equations with critical growth in R[sup]N
ID
Pu, Hongling
(
Author
),
ID
Li, Shiqi
(
Author
),
ID
Liang, Sihua
(
Author
),
ID
Repovš, Dušan
(
Author
)
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Abstract
We consider a class of fourth-order elliptic equations of Kirchhoff type with critical growth in ▫$\mathbb{R}^N$▫. By using constrained minimization in the Nehari manifold, we establish sufficient conditions for the existence of nodal (that is, sign-changing) solutions.
Language:
English
Keywords:
fourth-order elliptic equation
,
Kirchhoff problem
,
critical exponent
,
variational methods
,
nodal solution
Typology:
1.01 - Original Scientific Article
Organization:
PEF - Faculty of Education
FMF - Faculty of Mathematics and Physics
Year:
2021
Number of pages:
art. no. 19, str. 1-20
Numbering:
Vol. 2021
PID:
20.500.12556/RUL-128545
UDC:
517.956
ISSN on article:
1072-6691
COBISS.SI-ID:
57778179
Publication date in RUL:
19.07.2021
Views:
923
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69
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Title:
Electronic journal of differential equations
Shortened title:
Electr. j. differ. equ.
Publisher:
Southwest Texas State University, University of North Texas
ISSN:
1072-6691
COBISS.SI-ID:
7027289
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