Abstract We obtain N − 1 pairs of nontrivial solutions of the scalar field equation in R under a slow decay condition on the potential, without any symmetry assumptions. To overcome the difficulties arising from the lack of compactness, we use the concentration compactness principle of Lions expressed as a suitable profile decomposition for critical sequences. This is a joint work with Cyril Ti...

Recently, an identity of the Picone type for the weighted p-biharmonic operator was established by the present author [5] and employed in proving comparison theorems and other qualitative results for a pair of fourth-order elliptic partial differential equations of the form ∆ ( a(x)|∆u|p−2∆u ) − c(x)|u|p−2u = 0, (1.1) and ∆ ( A(x)|∆v|p−2∆v ) − C(x)|v|p−2v = 0, (1.2) where p > 1, a,A ∈ C(Ḡ,R+), ...

The abscission of Alstroemeria petals is the serious problem at the industry of cut flowers of this plant. In this study, cut Alstroemeria cv. Bridal flowers were pulsed with solutions containing natural essential oil carvacrol, gibberellic acid and benzyladenine (50 and 100 mg L-1), -5-sulfosalicylic acid (1 and 1.5 mM) and sucrose (5 and 10%) for 24 hours. The distilled water was used as cont...

We consider first order periodic differential inclusions in R . The presence of a subdifferential term incorporates in our framework differential variational inequalities in R . We establish the existence of extremal periodic solutions and we also obtain existence results for the “convex” and “nonconvex”problems.

Fresh-cut apples were subjected to mild vacuum impregnation (Vacuum pressure=67.7 mbar). M0: 30 °Brix honey solution (HS); M0.5: HS+0.5% citric acid (CA)+0.5% ascorbic (AA); and M1: HS+1% CA+1% AA used as osmotic solutions. Changes in soluble solids (SS), pH, firmness, color (∆E*ab), total phenolic vitamin C content, antioxidant capacity evaluated on days 0 7 of storage at 1.5 °C. Mass transfer...