Geodesic
On the Critical Exponents of Certain Nonlinear Boundary-Value Problems with Biharmonic Operator in the Exterior of a~Ball
Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 201-212

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We establish sufficient conditions for the absence of global solutions of the differential inequality $\Delta^2u\geqslant|u|^q$ 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. 
@article{MZM_2006_79_2_a4,
     author = {Yu. V. Volodin},
     title = {On the {Critical} {Exponents} of {Certain} {Nonlinear} {Boundary-Value} {Problems} with {Biharmonic} {Operator} in the {Exterior} of {a~Ball}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {201--212},
     publisher = {mathdoc},
     volume = {79},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a4/}
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Yu. V. Volodin. On the Critical Exponents of Certain Nonlinear Boundary-Value Problems with Biharmonic Operator in the Exterior of a~Ball. Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 201-212. http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a4/