Existence of nonradial solutions for Hénon type biharmonic equation involving critical Sobolev exponents. (English) Zbl 1474.35280
Summary: We prove the existence of nonradial solutions under some conditions for a semilinear biharmonic Dirichlet problem involving critical Sobolev exponents.
MSC:
| 35J40 | Boundary value problems for higher-order elliptic equations |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35B33 | Critical exponents in context of PDEs |
| 35J91 | Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian |
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