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Study on positive radial solution of boundary value problem for a class of biharmonic equations. (Chinese. English summary) Zbl 1463.35056

Summary: In this paper, the existence of positive radial bounded solutions of boundary value problems for a class of biharmonic equations is proved by using the principle of supremum and infimum and fixed point theorem. Also, a uniqueness theorem for certain systems is obtained. As an application of the theorem, an example is given.

MSC:

35B09 Positive solutions to PDEs
35J25 Boundary value problems for second-order elliptic equations
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