327,349 research outputs found
Pairs of positive solutions for the periodic scalar p-Laplacian
No full textAbstract. We study a nonlinear periodic problem driven by the scalar p-
Laplacian and having a nonsmooth potential (hemivariational inequality).
Using a combination of variational techniques and degree-theoretic methods
based on a degree map for certain multivalued perturbations of (S)+-
operators, we establish the existence of two positive solutions
Industry analysis in transportation
No full textBibliography: p. 61-66.by Zenon S. Zannetos, Themis Papageorgiou, Ming-je Tang
EXISTENCE, NONEXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR PARAMETRIC NONLINEAR ELLIPTIC EQUATIONS
No full textWe consider a parametric nonlinear elliptic equation driven by the Dirichlet p-Laplacian. We study the existence, nonexistence and multiplicity of positive solutions as the parameter λ varies in R_0^+ and the potential exhibits a p-superlinear growth, without satisfying the usual in such cases Ambrosetti–Rabinowitz condition. We prove a bifurcation-type result when the reaction has (p - 1)-sublinear terms near zero (problem with concave and convex nonlinearities). We show that a similar bifurcation-type result is also true, if near zero the right hand side is (p - 1)-linear
Positive solutions for generalized nonlinear logistic equations of superdiffusive type
No full textWe consider a generalized version of the p-logistic equation. Using variational methods based on the critical point theory and truncation techniques, we prove a bifurcation-type theorem for the equation. So, we show that there is a critical value lambda*> 0 of the parameter lambda> 0 such that the following holds: if lambda> lambda*, then the problem has two positive solutions; if lambda= lambda*, then there is a positive solution; and finally, if 0 < lambda< lambda*, then there are no positive solutions
Existence of two solutions for quasilinear periodic differential equations with discontinuities
No full textsummary:In this paper we examine a quasilinear periodic problem driven by the one- dimensional -Laplacian and with discontinuous forcing term . By filling in the gaps at the discontinuity points of we pass to a multivalued periodic problem. For this second order nonlinear periodic differential inclusion, using variational arguments, techniques from the theory of nonlinear operators of monotone type and the method of upper and lower solutions, we prove the existence of at least two non trivial solutions, one positive, the other negative
Existence and multiplicity results for resonant fractional boundary value problems
No full textWe study a Dirichlet-type boundary value problem for a pseudo- di↵erential equation driven by the fractional Laplacian, with a non-linear reac- tion term which is resonant at infinity between two non-principal eigenvalues: for such equation we prove existence of a non-trivial solution. Under further assumptions on the behavior of the reaction at zero, we detect at least three non-trivial solutions (one positive, one negative, and one of undetermined sign). All results are based on the properties of weighted fractional eigenvalues, and on Morse theory
On a nonstationary discrete time infinite horizon growth model with uncertainty
No full textsummary:In this paper we examine a nonstationary discrete time, infinite horizon growth model with uncertainty. Under very general hypotheses on the data of the model, we establish the existence of an optimal program and we show that the values of the finite horizon problems tend to that of the infinite horizon as the end of the planning period approaches infinity. Finally we derive a transversality condition for optimality which does not involve dual variables (prices)
Comparaison biologique entre une souche virulente (S,) et la souche CP de Mycoplasma gallisepticum chez de jeunes poussins (III)
No full textPapageorgiou C., Goret Pierre. Comparaison biologique entre une souche virulente (S,) et la souche CP de Mycoplasma gallisepticum chez de jeunes poussins (III). In: Bulletin de l'Académie Vétérinaire de France tome 124 n°10, 1971. pp. 487-494
On the solution set of nonconvex subdifferential evolution inclusions
No full textsummary:We consider nonlinear systems with a priori feedback. We establish the existence of admissible pairs and then we show that the Lagrange optimal control problem admits an optimal pair. As application we work out in detail two examples of optimal control problems for nonlinear parabolic partial differential equations
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