Multiplicity of solutions for quasilinear elliptic problems involving Φ-Laplacian operator and critical growth

In this paper, we study a class of quasilinear elliptic equations with ΦLaplacian operator and critical growth. Using the symmetric mountain pass theorem and the concentration-compactness principle, we demonstrate that there exists λi > 0 such that our problem admits i pairs of nontrivial weak so...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Li Xuewei
Jia Gao
Dokumentumtípus: Folyóirat
Megjelent: 2019
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet - elliptikus
doi:10.14232/ejqtde.2019.1.6

Online Access:http://acta.bibl.u-szeged.hu/58111
Leíró adatok
Tartalmi kivonat:In this paper, we study a class of quasilinear elliptic equations with ΦLaplacian operator and critical growth. Using the symmetric mountain pass theorem and the concentration-compactness principle, we demonstrate that there exists λi > 0 such that our problem admits i pairs of nontrivial weak solutions provided λ ∈ (0, λi).
Terjedelem/Fizikai jellemzők:1-15
ISSN:1417-3875