Existence of solutions for p(x)-Kirchhoff type problems with non-smooth potentials
We consider a class of p(x)-Kirchhoff type problem with a subdifferential term and a discontinuous perturbation. Assuming the existence of an ordered pair of appropriately defined upper and lower solutions, by the method of lower-upper solutions, penalization techniques, truncations, and res...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/193/abstr.html |
| Summary: | We consider a class of p(x)-Kirchhoff type problem with a subdifferential
term and a discontinuous perturbation. Assuming the existence of an
ordered pair of appropriately defined upper and lower solutions,
by the method of lower-upper solutions, penalization techniques,
truncations, and results from nonlinear and multivalued analysis,
we show the existence of solutions, and of extremal solutions in
the interval defined by the lower and upper solution. |
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| ISSN: | 1072-6691 |