1,721,012 research outputs found
From a systems theory of sociology to modeling the onset and evolution of criminality
Full text linkThis paper proposes a systems theory approach to the modeling of onset and evolution of criminality in a territory. This approach aims at capturing the complexity features of social systems. Complexity is related to the fact that individuals have the ability to develop specific heterogeneously distributed strategies, which depend also on those expressed by the other individuals. The modeling is developed by methods of generalized kinetic theory where interactions and decisional processes are modeled by theoretical tools of stochastic game theory.Fil: Bellomo, Nicola. King Abdulaziz University; Arabia Saudita. Politecnico Torino; ItaliaFil: Colasuonno, Francesca. Politecnico Torino; ItaliaFil: Knopoff, Damián Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Soler, Juan. Universidad de Granada; Españ
Eigenvalues for double phase variational integrals
No full textWe study an eigenvalue problem in the framework of double phase variational
integrals and we introduce a sequence of nonlinear eigenvalues by a minimax procedure.
We establish a continuity result for the nonlinear eigenvalues with respect to the variations
of the phases. Furthermore, we investigate the growth rate of this sequence and get a Weyl type
law consistent with the classical law for the p-Laplacian operator when the two phases
agree
The Soap Bubble Theorem and a -Laplacian overdetermined problem
Full text linkWe consider the p-Laplacian equation -Delta(p)u = 1 for 1 < p < 2, on a regular bounded domain Omega subset of R-N, with N >= 2, under homogeneous Dirichlet boundary conditions. In the spirit of Alexandrov's Soap Bubble Theorem and of Serrin's symmetry result for the overdetermined problems, we prove that if the mean curvature H of partial derivative Omega is constant, then Omega is a ball and the unique solution of the Dirichlet p-Laplacian problem is radial. The main tools used are integral identities, the P-function, and the maximum principle
A p-Laplacian supercritical Neumann problem
No full textFor p > 2, we consider the quasilinear equation -Δpu+SCOPUS: ar.jinfo:eu-repo/semantics/publishe
Eigenvalues for double phase variational integrals
No full textWe study an eigenvalue problem in the framework of double phase variational integrals, and we introduce a sequence of nonlinear eigenvalues by a minimax procedure. We establish a continuity result for the nonlinear eigenvalues with respect to the variations of the phases. Furthermore, we investigate the growth rate of this sequence and get a Weyl-type law consistent with the classical law for the p-Laplacian operator when the two phases agree
A priori bounds and multiplicity of positive solutions for p-Laplacian Neumann problems with sub-critical growth
No full textCONTINUOUS DEPENDENCE FOR p-LAPLACE EQUATIONS WITH VARYING OPERATORS
No full textFor the following Neumann problem in a ball {-Delta(p)u + u(p-1) = u(q-1) in B, u > 0, u radial in B, partial derivative u/partial derivative nu = 0 on partial derivative B, with 1 < p < q < infinity, we prove continuous dependence on p, for radially nondecreasing solutions. As a byproduct, we obtain an existence result for nonconstant solutions in the case p is an element of (1,2) and q larger than an explicit threshold
Multiplicity of solutions for p(x) -polyharmonic elliptic Kirchhoff equations
No full textIn this paper we establish the existence of an unbounded sequence of solutions for a class of quasilinear elliptic p(x)-polyharmonic Kirchhoff equations, including the new delicate degenerate case, not yet covered in the literature. The main tool is the symmetric mountain pass theorem of Ambrosetti and Rabinowitz. © 2011 Elsevier Ltd. All rights reserved
Stability of eigenvalues for variable exponent problems
No full textIn the framework of variable exponent Sobolev spaces, we prove that the variational
eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg
norms are all stable under uniform convergence of the exponents
Multiplicity and symmetry breaking for supercritical elliptic problems in exterior domains
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