Elliptic Singular Fourth Order Equations

2012/09/15 by Mohammed Benalili, Benalili, Mohammed, Kamel Tahri +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations #acm:58J05 #math.DG #msc:58J05

paper · pdf · doi:10.48550/arxiv.1209.3409

24 pa&ges

arxiv created 2012/10/31 · arxiv updated 2012/11/02

Abstract

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.

Citations

• A relation between pointwise convergence of functions and convergence of functionals

Cited by

• Multiple solutions to singular fourth order elliptic equations

Related

• Multiple solutions to singular fourth order elliptic equations
• Existence and mutiplicity of solutions to elliptic equations of fourth order on compact manifolds
• Weak compactness of solutions for fourth order elliptic systems with critical growth
• Nonlinear elliptic fourth order equations existence and multiplicity results
• On a nonlinear fourth order elliptic equation involving the Sobolev critical exponent