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On fourth-order elliptic boundary value problems |
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| Authors: | C. V. Pao |
| Affiliation: | Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695-8205 |
| Abstract: | This paper is concerned with the existence and uniqueness of a solution for a class of fourth-order elliptic boundary value problems. The existence of a solution is proven by the method of upper and lower solutions without any monotone nondecreasing or nonincreasing property of the nonlinear function. Sufficient conditions for the uniqueness of a solution and some techniques for the construction of upper and lower solutions are given. All the existence and uniqueness results are directly applicable to fourth-order two-point boundary value problems. |
| Keywords: | Fourth-order elliptic equation two-point boundary problem existence-uniqueness method of upper and lower solutions |
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