Strongly nonlinear nonhomogeneous elliptic unilateral problems with L^1 data and no sign conditions
In this article, we prove the existence of solutions to unilateral problems involving nonlinear operators of the form: $$ Au+H(x,u,abla u)=f $$ where $A$ is a Leray Lions operator from $W_0^{1,p(x)}(Omega)$ into its dual $W^{-1,p'(x)}(Omega)$ and $H(x,s,xi)$ is the nonlinear term satisfyin...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2012-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/79/abstr.html |