Existence of solutions for fourth order elliptic equations of Kirchhoff type on RN

Existence and mutiplicity of solutions to elliptic equations of fourth order on compact manifolds

Existence and mutiplicity of solutions to elliptic equations of fourth order on compact manifolds. Abstract. This paper deals with a fourth order elliptic equation on compact Riemannian manifolds.We establish the existence of solutions to the equation with critical Sobolev growth which is the subject of the first theorem. In the second one, we prove the multiplicity of solutions in the subcriti...

Existence of Infinitely Many Large Solutions for a Class of Fourth - Order Elliptic Equations In

Existence of Solutions for the Coupled Systems of Second and Fourth Order Elliptic Equations

In this paper, under the nonquadraticity condition, we obtain two existence theorems of nontrivial solutions for a coupled system of second and fourth order elliptic equations. Mathematics subject classification (2010): 35J48, 35J50, 35J58.

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.

Existence of Positive Solutions of a Class of Quasilinear Elliptic Equations on Rn

In this paper we study the following problem: −Δpu + |u|p−2u = k(x) f (u) + h(x) , x ∈ RN , where u ∈W 1,p(RN) , u > 0 in RN . Under appropriate assumptions on k , h and f , we prove that problem has at least two positive solutions.