Introduction
Bimonthly, started in 1957
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
location: home > paper >
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Compactness Condition of (2, p) -Laplacian Equation and Its Applications
DOI:
10.16355/j.cnki.issn1007-9432tyut.2018.04.022
Received:
Accepted:
| Corresponding author | Institute | |
| LIANG Zhanping | school of Mathematical Sciences, Shanxi University |
abstract:
Using variational methods, the (2, p) -Laplacian equation with the Dirichlet boundary condition was studied.When the nonlinearity is characterized by the first eigenvalue of pLaplacian operator, the compactness condition of the energy functional corresponding to this equation was obtained.Using this compactness condition, the existence of positive solutions for this equation with the nonlinearity satisfying two classical conditions was obtained.
Keywords:
(2, p) -Laplacian equation; compactness condition; positive solution;