On the Stability Properties of Nonnegative Solutions of Semilinear Problems with Convex or Concave Nonlinearity

We investigate the stability of nontrivial nonnegative stationary solutions of semilinear initial-boundary value problems with convex or concave nonlinearity. In the convex case (0)⩽0 implies instability, in the concave case (0)⩾0 implies stability. We also discuss the necessity of the sign condition on (0)

Year of publication:	2018
Authors:	Karátson, J.
Other Persons:	Simon, P.L. (contributor)
Publisher:	[2018]: [S.l.] : SSRN
Subject:	Theorie \| Theory \| Mathematische Optimierung \| Mathematical programming

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