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december 2010 Multiplicity of solutions for anisotropic quasilinear elliptic equations with variable exponents
Denisa Stancu-Dumitru
Bull. Belg. Math. Soc. Simon Stevin 17(5): 875-889 (december 2010). DOI: 10.36045/bbms/1292334062

Abstract

We study an anisotropic partial differential equation on a bounded domain $\Omega\subset\mathbb R^N$. We prove the existence of at least two nontrivial weak solutions using as main tools the mountain pass lemma and Ekeland's variational principle.

Citation

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Denisa Stancu-Dumitru. "Multiplicity of solutions for anisotropic quasilinear elliptic equations with variable exponents." Bull. Belg. Math. Soc. Simon Stevin 17 (5) 875 - 889, december 2010. https://doi.org/10.36045/bbms/1292334062

Information

Published: december 2010
First available in Project Euclid: 14 December 2010

zbMATH: 1205.35126
MathSciNet: MR2777777
Digital Object Identifier: 10.36045/bbms/1292334062

Subjects:
Primary: 35D05 , 35J60 , 35J70 , 58E05 , 68T40 , 76A02

Keywords: anisotropic equation , Ekeland's variational principle , mountain-pass theorem , ‎variable exponent , Weak solution

Rights: Copyright © 2010 The Belgian Mathematical Society

Vol.17 • No. 5 • december 2010
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