Multiplicity of solutions for anisotropic quasilinear elliptic equations with variable exponents
Stancu-Dumitru, Denisa
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 875-889 / Harvested from Project Euclid
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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.
Publié le : 2010-12-15
Classification:  anisotropic equation,  variable exponent,  weak solution,  mountain-pass theorem,  Ekeland's variational principle,  35D05,  35J60,  35J70,  58E05,  68T40,  76A02 
@article{1292334062,
     author = {Stancu-Dumitru, Denisa},
     title = {Multiplicity of solutions for anisotropic quasilinear elliptic equations with variable exponents},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {17},
     number = {1},
     year = {2010},
     pages = { 875-889},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1292334062}
}

Stancu-Dumitru, Denisa. Multiplicity of solutions for anisotropic quasilinear elliptic equations with variable exponents. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp.  875-889. http://gdmltest.u-ga.fr/item/1292334062/