The existence of an a.e. positive stationary solution with bounded variation in [0,1] for an integro-differential conservation law with source depending on a function singular in the origin is proved
International audienceWe prove the existence of stationary solutions for certain systems of reaction...
We study the local behaviour of solutions of the following type of equation, -?u - V(x)u + g(u) = 0 ...
We give an answer to a question posed in Amorim et al. (ESAIM Math Model Numer Anal 49(1):19–37, 201...
AbstractSeveral physical phenomena are modeled by conservation laws with fluxes or sources that are ...
Several physical phenomena are modeled by conservation laws with fluxes or sources that are singul...
We consider the Cauchy problem for the scalar conservation law ∂t u + ∂x f (u) = 1/g(u) , t > 0, x...
Stationary solutions, besides being relevant on their own, play a key role in a variety of analytic ...
We consider the Cauchy problem for the scalar conservation law ∂ t ...
The paper presents the existence result for positive solutions of the differential equation (g(x))&q...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
We prove the convergence of solutions of nonlocal conservation laws to their local entropic counterp...
AbstractWe study a variety of scalar integro-differential equations with singular kernels including ...
We prove the existence of a positive solution in $W^{2,q}_{loc}$ for a semilinear elliptic integro-...
In this article, we consider a nonlocal problem with a strong singular term and a general weight fun...
AbstractThe main structure underlying the nonlinearity of conservation laws of gasdynamical type in ...
International audienceWe prove the existence of stationary solutions for certain systems of reaction...
We study the local behaviour of solutions of the following type of equation, -?u - V(x)u + g(u) = 0 ...
We give an answer to a question posed in Amorim et al. (ESAIM Math Model Numer Anal 49(1):19–37, 201...
AbstractSeveral physical phenomena are modeled by conservation laws with fluxes or sources that are ...
Several physical phenomena are modeled by conservation laws with fluxes or sources that are singul...
We consider the Cauchy problem for the scalar conservation law ∂t u + ∂x f (u) = 1/g(u) , t > 0, x...
Stationary solutions, besides being relevant on their own, play a key role in a variety of analytic ...
We consider the Cauchy problem for the scalar conservation law ∂ t ...
The paper presents the existence result for positive solutions of the differential equation (g(x))&q...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
We prove the convergence of solutions of nonlocal conservation laws to their local entropic counterp...
AbstractWe study a variety of scalar integro-differential equations with singular kernels including ...
We prove the existence of a positive solution in $W^{2,q}_{loc}$ for a semilinear elliptic integro-...
In this article, we consider a nonlocal problem with a strong singular term and a general weight fun...
AbstractThe main structure underlying the nonlinearity of conservation laws of gasdynamical type in ...
International audienceWe prove the existence of stationary solutions for certain systems of reaction...
We study the local behaviour of solutions of the following type of equation, -?u - V(x)u + g(u) = 0 ...
We give an answer to a question posed in Amorim et al. (ESAIM Math Model Numer Anal 49(1):19–37, 201...