On a class of nonhomogenous quasilinear problems in Orlicz-Sobolev spaces
We study the nonlinear boundary value problem \(-div ((a_1(|\nabla u(x)|)+a_2(|\nabla u(x)|))\nabla u(x))=\lambda |u|^{q(x)-2}u-\mu |u|^{\alpha(x)-2}u\) in \(\Omega\), \(u = 0\) on \(\partial \Omega\) , where \(\Omega\) is a bounded domain in \(\mathbb{R}^N\) with smooth boundary, \(\lambda\), \(\mu...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2012-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol32/4/art/opuscula_math_3252.pdf |