Removable singularities of solutions to a class of quasi-linear non-uniformly elliptic equations

Existence and Symmetry of Least Energy Solutions for a Class of Quasi-linear Elliptic Equations

Abstract. Pour une large classe d’équations quasilinéaires elliptiques autonomes sur R , on montre l’existence d’une solution de moindre énergie. On montre aussi que toutes les solutions de moindres énergies ont un signe constant et sont, à une translation près, radiales. For a general class of autonomous quasi-linear elliptic equations on R we prove the existence of a least energy solution and...

Existence of ground state solutions for a class of nonlinear elliptic equations with fast increasing weight

‎This paper is devoted to get a ground state solution for a class of nonlinear elliptic equations with fast increasing weight‎. ‎We apply the variational methods to prove the existence of ground state solution‎.

On the Solutions of Quasi-linear Elliptic Partial Differential Equations*

The literature concerning these equations being very extensive, we shall not attempt to give a complete list of references. The starting point for many more modern researches has been the work of S. Bernstein,f who was the first to prove the analyticity of the solutions of the general equation with analytic and who was able to obtain a priori bounds for the second and higher derivatives of ...

Boundary Behavior for Solutions of Singular Quasi–linear Elliptic Equations

In this paper, for 1 γ 3 our main purpose is to consider the quasilinear elliptic equation: div(|∇u|m−2∇u) + (m− 1)u−γ = 0 on a bounded smooth domain Ω ⊂ RN , N > 1 . We get some first-order estimates of a nonnegative solution u satisfying u = 0 on ∂Ω . For γ = 1 , we find the estimate: limx→∂Ω u(x)/p(δ (x)) = 1 , where p(r) ≈ r m √ m log(1/r) near r = 0 , δ (x) denotes the distance from x to ∂...

Numerical Solutions of Special Class of Systems of Non-Linear Volterra Integro-Differential Equations by a Simple High Accuracy Method