[PDF] Top 20 Nodal solutions for a sublinear elliptic equation

... _ ruw7e'isgsehcDcDrulDª§gsbdªru¡l¬™š¡g ~u•D¡vXlDi3ªÎ•DƒehgW˜ w5bye lD¡kwswœj!wWr ™T¡eh~u~uiWvX qDisrub'l ru¡iWrul"lbdgWiWdbm¡g|ehgW~ gsehbd~à wsmc#¡¡llDisnDehFrurulXlDª!w^eLiW ¡¬7d[r] ... Voir le document complet

... in a first version of [2] the regularity up to the boundary has not been dealt with in an adequate ...using a shorter strategy, which heavily relies on some regularity results, contained in the paper [7] by ... Voir le document complet

... the equation ∆u + u p + λ u = 0 is written in a general bounded smooth domain Ω and supplied with zero Dirichlet boundary conditions as in (1), then for any value of the exponent p, no solution ... Voir le document complet

... set A 0 is bounded and that A 1 is non-empty and ...11). Solutions tending to the origin are expected to appear in the shooting procedure when λ passes from A k to A k+1 , as in (Figure ... Voir le document complet

... mass and qualitative properties of the solutions. Electron. J. Differential Equations (2006), No. 44, 32 pp. (electronic). [9] Brezis, H. Analyse fonctionnelle. Collection Math´ ematiques Appliqu´ ees pour la ... Voir le document complet

... solution. For sufficiently regular solutions, we expect the filtered scheme to reduce to the more accurate scheme, which has a formal accuracy of O(dx 2 ...). For singular solutions, we ... Voir le document complet

... find solutions which explode at the boundary of a bounded ...shown for various cases of linear and nonlinear second order elliptic operators in divergence ...See for instance the work ... Voir le document complet

... Moreover, a p-adic analogue of this method, that would be needed for the S-integer solutions, is not yet fully available, mainly due to the fact that there is not yet a fully explicit theory ... Voir le document complet

... Dauphine) for their kind hospitality while part of this work was ...of nodal solutions for the semilinear elliptic equations with critical Sobolev ex- ... Voir le document complet

... F (D 2 u) − |u| s−1 u = f (x) in R n (1.2) where f ∈ L n loc (R n ) and the solution u is intended in the L n -viscosity sense. In [8] Galise and Vitolo generalized the previous results for operators depending ... Voir le document complet

... function a(x) given by (1.18). The numerical parameters are u0(x) = K = 1.25, A = 1/4, δ = 1, δt = 10 −5 and δx = 5 · 10 −5 ...the solutions for α = 3/4 and α = 1 are plotted on Figure ...of ... Voir le document complet

... d’un probl` eme de commande optimale semi lin´ eaire elliptique p´ enalis´ e R´ esum´ e : Dans ce travail nous consid´ erons le probl` eme de commande optimale d’une ´ equation semi lin´ eaire elliptique avec ... Voir le document complet

... has a stronger behaviour, no global energy estimates are available for the ...homogenization. For this reason, we will have to introduce a convenient (complicated) framework, in which we will ... Voir le document complet

... Lions, A note on isolated singularities for linear elliptic equations, Mathematical analysis and applications, ...Blow-up solutions of some nonlinear elliptic problems, ... Voir le document complet

... supported solutions for a sub-linear elliptic equation with any given number of ...the solutions of their system of equations hit ...these solutions and the ...state ... Voir le document complet

... weak solutions) and in [ 4 ] (existence of strong ...weak solutions with a similar model but without damping on the plate ...weak solutions was obtained in the case of more complex models: ... Voir le document complet

... and x → +∞, or, even, no limit at all. The plan of the paper is the following. Section 2 recalls the main steps of the derivation of the model for λ > 0 and related mathematical results. In Section 3, we show ... Voir le document complet

... reconstructing a function from its modulus or the modulus of some transform of it (frame coef- ficient, Fourier ...[Ja] for descriptions of various instances of this problems, some solutions to it ... Voir le document complet

... reason for analysing the master equation by means of probabilistic argu- ments is that equilibria in large population stochastic control problems driven by either individual or collective policies may be ... Voir le document complet

... that a very singular solution u formally satisfies u(0, x) = 0 if x ∈ R N \ {0} and u(0, 0) = +∞ and thus belongs to the class of solutions having initial data taking infinite values on some subset of R N ... Voir le document complet