Uniqueness of weak solutions for a biharmonic problem. (English) Zbl 1479.35320
Summary: We prove the existence, uniqueness, and several properties of weak solutions of a \(p ( x )\)-biharmonic problem. Our analysis utilizes a result from the monotone operator theory and some theory on the generalized Lebesgue and Sobolev spaces.
MSC:
| 35J30 | Higher-order elliptic equations |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A02 | Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness |
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