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...
Elmentve itt :
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Dokumentumtípus: | Folyóirat |
Megjelent: |
2019
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Sorozat: | Electronic journal of qualitative theory of differential equations
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Kulcsszavak: | Differenciálegyenlet - elliptikus |
doi: | 10.14232/ejqtde.2019.1.6 |
Online Access: | http://acta.bibl.u-szeged.hu/58111 |
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). |
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Terjedelem/Fizikai jellemzők: | 1-15 |
ISSN: | 1417-3875 |