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On the Critical Exponents of Certain Nonlinear Boundary-Value Problems with Biharmonic Operator in the Exterior of a Ball |
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| Authors: | Yu V Volodin |
| Institution: | (1) Tula State University, Kenya |
| Abstract: | We establish sufficient conditions for the absence of global solutions of the differential inequality Δ2 u≥|u|q in the exterior of a ball. We consider various boundary conditions and show that the critical exponents depend on these conditions. The proofs are based on the test function method developed by Mitidieri and Pokhozhaev. |
| Keywords: | critical exponent semilinear inequality a priori estimate test function homogeneous biharmonic equation boundary condition of the first and second kind |
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