Elliptic Singular Fourth Order Equations
Using a method developped in [1] and [2], we prove the existence of weak non trivial solutions to fourth order elliptic equations with singularities and with critical Sobolev growth.
math.DG↗
arXiv subjects
Kamel Tahri
Publications and source records attributed to Kamel Tahri.
Multiple solutions to singular fourth order elliptic equations
Using the method of Nehari manifold, we prove the existence of at least two distinct weak solutions to elliptic equation of four order with singulatities and with critical Sobolev growth.
math.DG↗
Nonlinear elliptic fourth order equations existence and multiplicity results
This paper deals with the existence of solutions to a class of fourth order nonlinear elliptic equations. The technique used relies on critical points theory. The solutions appeared as critical points of a functional restricted to a suitable manifold.In the case of constant coefficients we obtain the existence of tree distinct solutions.
math.DG↗