Uniqueness of Positive Solutions to Nonlinear Elliptic Problems

Jim Michael Cushing · SIAM Journal on Mathematical Analysis · 1971

The uniqueness of positive solutions to self-adjoint elliptic partial differential equations with nonlinear forcing terms subject to mixed Dirichlet and nonlinear Neumann boundary conditions on bounded domains is proved under relatively mild conditions on the nonlinear terms. The result generalizes known results.

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