Existence of bounded solutions for nonlinear degenerate elliptic equations in Orlicz spaces
We prove the existence of bounded solutions for the nonlinear elliptic problem$$ -mathop{m div}a(x,u,{ abla}u)=f quadext{in }{Omega},$$ with $uin W^1_0L_M({Omega})cap L^{infty}(Omega)$, where$$ a(x,s,xi)cdotxigeq {overline M}^{-1}M(h(|s|))M(|xi|),$$ and $h:{mathbb{R}^+}{o }{]0,1]}$ is a continuous...
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| Format: | Article |
| Language: | English |
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Texas State University
2007-04-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/54/abstr.html |