Vol. 33, No. 2, 1970

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Linear eigenvalues and a nonlinear boundary value problem

Edward Milton Landesman and Alan Cecil Lazer

Vol. 33 (1970), No. 2, 311–328

In this paper a nonlinear boundary value problem for elliptic partial differential equations is considered. The principal result generalizes a previous result on a two point boundary value problem for a nonlinear second order ordinary differential equation. The solvability condition obtained for the nonlinear problem is related to the eigenvalues of an associated linear problem.

Mathematical Subject Classification
Primary: 35.47
Published: 1 May 1970
Edward Milton Landesman
Alan Cecil Lazer