scholarly journals Multiplicity of solutions for a class of the quasilinear elliptic equations at resonance

2012 ◽  
Vol 386 (2) ◽  
pp. 661-668 ◽  
Author(s):  
Mingzheng Sun
Keyword(s):  
Elliptic Equations ◽  
Quasilinear Elliptic Equations ◽  
Multiplicity Of Solutions ◽  
At Resonance ◽  
Quasilinear Elliptic

Symmetric And Nonsymmetric Solutions For a Class of Quasilinear Schrödinger Equations

2008 ◽  
Vol 8 (2) ◽  
Author(s):  
Uberlandio B. Severo
Keyword(s):  
Elliptic Equations ◽  
Mountain Pass Theorem ◽  
Mountain Pass ◽  
Quasilinear Elliptic Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Multiplicity Of Solutions ◽  
Principle Of Symmetric Criticality ◽  
Quasilinear Elliptic

AbstractWe use the mountain-pass theorem combined with the principle of symmetric criticality to establish multiplicity of solutions for the class of quasilinear elliptic equations-Δu + V(z)u - Δ(uwhere N ≥ 4, the potential V : ℝ

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