Existence and multiplicity of solutions for non-degenerate Kirchhoff type problem with nonlinear boundary condition
We show the existence of solutions for nonlinear elliptic partial differential equations with Steklov nonlinear boundary conditions involving a Kirchhoff type operator. By using variational and topological methods, we prove the existence and multiplicity of solutions. The results obtained are...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2019-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/42/abstr.html |
| Summary: | We show the existence of solutions for nonlinear elliptic partial differential
equations with Steklov nonlinear boundary conditions involving a Kirchhoff
type operator. By using variational and topological methods, we prove the
existence and multiplicity of solutions. The results obtained are new even
for the standard stationary Kirchhoff equation with nonlinear
boundary condition involving the p-Laplacian operator. |
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| ISSN: | 1072-6691 |