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2012 MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS IN UNBOUNDED CYLINDER DOMAINS
Tsing-San Hsu, Huei-Li Lin
Taiwanese J. Math. 16(2): 409-428 (2012). DOI: 10.11650/twjm/1500406593

Abstract

In this paper, we show that if $Q(x)$ satisfies some suitable conditions, then the quasilinear elliptic Dirichlet problem $-\Delta_p u + |u|^{p-2} u = Q(x)|u|^{q-2}u$ in an unbounded cylinder domain $\Omega$ has at least two solutions in which one is a positive ground state solution and the other is a nodal solution.

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Tsing-San Hsu. Huei-Li Lin. "MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS IN UNBOUNDED CYLINDER DOMAINS." Taiwanese J. Math. 16 (2) 409 - 428, 2012. https://doi.org/10.11650/twjm/1500406593

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1247.35022
MathSciNet: MR2892890
Digital Object Identifier: 10.11650/twjm/1500406593

Subjects:
Primary: 35J20, 35J60

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

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Vol.16 • No. 2 • 2012
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