## Stationary States of Reaction-Diffusion and Schrödinger Systems with Inhomogeneous or Controlled Diffusion

- Alexandre Montaru, Boyan Sirakov
- SIAM J. Math. Analysis
- 2016

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@inproceedings{Armstrong2008PrincipalEA, title={Principal Eigenvalues and an Anti-maximum Principle for Homogeneous Fully Nonlinear Elliptic Equations}, author={S Armstrong}, year={2008} }

- Published 2008

We study the fully nonlinear elliptic equation F (Du, Du, u, x) = f in a smooth bounded domain Ω, under the assumption the nonlinearity F is uniformly elliptic and both positively homogeneous and concave (or convex), jointly in its first three arguments, but does not satisfy a comparison principle. Recently, Quaas and Sirakov [27] demonstrated the existence of two principal “half” eigenvalues for such operators and showed that F satisfies the comparison principle (and hence the Dirichlet… CONTINUE READING

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