The lack of a general maximum principle for biharmonic equations suggests to study under which boundary conditions the positivity preserving property holds. We show that this property holds inâ€¦ (More)

We study a semilinear fourth order elliptic problem with exponential nonlinearity. Motivated by a question raised in [Li], we partially extend known results for the corresponding second orderâ€¦ (More)

We consider an elliptic system of Hamiltonian type on a bounded domain. In the superlinear case with critical growth rates we obtain existence and positivity results for solutions under suitableâ€¦ (More)

The initial boundary-value problem (IBVP) and the Cauchy problem for the Kuramotoâ€“Sivashinsky equation v t + v xxxx + v xx = 1 2 (v 2) x and other related 2mth-order semilinear parabolic partialâ€¦ (More)

We discuss the notion of criticality of semilinear differential equations and systems, its relations to scaling transformations and the Noether approach to Pokhozhaevâ€™s identities. For this purposeâ€¦ (More)

We consider an elliptic system of Hamiltonian type on a bounded domain. In the superlinear case with critical growth rates we obtain existence and positivity results for solutions under suitableâ€¦ (More)