We study the existence of positive solutions for a system of two elliptic equations of the form  −∆u = a1(x)F1 (x, u, v) in Ω −∆v = a2(x)F2 (x, u, v) in Ω u = v = 0 on ∂Ω where Ω ⊂ RN (N ≥ 2) is a bounded domain in RN with a smooth boundary ∂Ω or Ω = RN (N ≥ 3). A non-existence result is obtained for radially symmetric solutions. Our proofs are based primarily on the sub and super-solution met...

This work is devoted to prove the existence of weak solutions of the kinetic Vlasov—Poisson— Fokker—Planck system in bounded domains for attractive or repulsive forces. Absorbing and reflectiontype boundary conditions are considered for the kinetic equation and zero values for the potential on the boundary. The existence of weak solutions is proved for bounded and integrable initial and boundar...

in this article, we develop the distributed order fractional hybrid differential equations (dofhdes) with linear perturbations involving the fractional riemann-liouville derivative of order $0 < q < 1$ with respect to a nonnegative density function. furthermore, an existence theorem for the fractional hybrid differential equations of distributed order is proved under the mixed $varphi$-lipschit...

‎Using variational arguments‎, ‎we prove the existence of infinitely‎ ‎many solutions to a class of $p$-biharmonic equation in‎ ‎$mathbb{R}^N$‎. ‎The existence of‎ ‎nontrivial‎ ‎solution is established under a new‎ ‎set of hypotheses on the potential $V(x)$ and the weight functions‎ ‎$h_1(x)‎, ‎h_2(x)$‎.