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2014 Multiplicity of Solutions to a Potential Operator Equation and Its Applications
Jincheng Huang
Abstr. Appl. Anal. 2014: 1-11 (2014). DOI: 10.1155/2014/947139


We consider the multiplicity of solutions for operator equation involving homogeneous potential operators. With the help of Nehari manifold and fibering maps, we prove that such equation has at least two nontrivial solutions. Furthermore, we apply this result to prove the existence of two nonnegative solutions for three types of quasilinear elliptic systems involving (p, q)-Laplacian operator and concave-convex nonlinearities.


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Jincheng Huang. "Multiplicity of Solutions to a Potential Operator Equation and Its Applications." Abstr. Appl. Anal. 2014 1 - 11, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07023370
MathSciNet: MR3273920
Digital Object Identifier: 10.1155/2014/947139

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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