Existence results for a perturbed Dirichlet problem without sign condition in Orlicz spaces
UDC 517.5 We deal with the existence result for nonlinear elliptic equations related to the form$$Au + g(x, u,\nabla u) = f,$$where the term $-{\rm div}\Big(a(x,u,\nabla u)\Big)$ is a Leray–Lions operator from a subset of $W^{1}_{0}L_M(\Omega)$ into its dual.  The growth and coercivity...
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| Date: | 2020 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2020
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/373 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |