Multiplicity of solutions for a nonhomogeneous quasilinear elliptic equation with concave-convex nonlinearities

We investigate the multiplicity of solutions for a quasilinear scalar field equation with a nonhomogeneous differential operator defined bySu≔−divϕu2+∣∇u∣22∇u+ϕu2+∣∇u∣22u,Su:= -\hspace{0.1em}\text{div}\hspace{0.1em}\left\{\phi \left(\frac{{u}^{2}+{| \nabla u| }^{2}}{2}\right)\nabla u\right\}+\phi \l...

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Bibliografische Detailangaben

Hauptverfasser:	Qi Wanting, Zhang Xingyong
Format:	Artigo
Sprache:	Inglês
Veröffentlicht:	De Gruyter 2024-11-01
Schriftenreihe:	Advances in Nonlinear Analysis
Schlagworte:	quasilinear elliptic equation concave-convex nonlinearities nehari manifold method fibering maps ground state solution nonlinear optics 35a15 35j47 35j50
Online-Zugang:	https://doi.org/10.1515/anona-2024-0047
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