Elliptic Singular Fourth Order Equations

2012/09/15 by Mohammed Benalili, Benalili, Mohammed, Kamel Tahri +1
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.1209.3409

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

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