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For any θ<1/3 , we show that very weak solutions to the two-dimensional Monge–Ampère equation with regularity C1,θ are dense in the space of continuous functions. This result is shown by a convex inte...
Though completely integrable Camassa-Holm (CH) equation and Degasperis-Procesi (DP) equation are cast in the same peakon family, they possess the second- and third-order Lax operators, respectively. F...
The effective mass one-dimensional Schr¨odinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions are comput...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlinear Schrodinger equations mainly the compactness of the support and its spatial localization.
In this paper we prove the global in time well-posedness of the following non-local diffusion equation with ∈ [0, 2/3):@tu = (−△)−1u △u + u2, u(t = 0) = u0.
We consider the problem 􀀀u + V (x)u = f0(u) + g(x) in RN, under the assumption limx!1 V (x) = 0, and with the non linear term f with a double power behavior. We prove the existence two solut...
Considering both the power Maxwell invariant source and the Einstein–Gauss–Bonnet gravity, we present a new class of static solutions yields a spacetime with a longitudinal nonlinear magnetic field.
We first derive an integrable deformed hierarchy of short pulse equation and their Lax representation. Then we concentrated on the solution of integrable deformed short pulse equation (IDSPE).
We consider the problem u + V (x)u = f′(u) in RN. Here the non-linearity has a double power behavior and V is invariant under an orthogonal involution, with V (∞) = 0. An existence theorem of one pai...
We investigate existence and qualitative behaviour of solutions to nonlinear Schr¨odinger equations with critical exponent and singular electromagnetic potentials. We are concerned with with magnetic ...
grande, pour une classe d’&acute;equations semilin&acute;eaires avec des conditions p&acute;eriodiques sur le bord: utt − uxx = f(x, u),u(0, t) = u(, t) , ux(0, t) = ux(, t).Notre m&acute;etho...
We solve some forms of non homogeneous differential equations in one and two dimensions. By expanding the solution into whell-posed closed form-Eisenstein series the solution itself is quite simple an...
By means of a recent variational technique, we prove the existence of radially monotone solutions to a class of nonlinear problems involving the p-Laplace operator. No subcriticality condition (in the...
We study positive bound states for the equation −"2u + V (x)u = K(x)f(u), x 2 RN,where " > 0 is a real parameter and V and K are radial positive potentials.We are especially interested in solut...

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