Nodal solutions for fourth order elliptic equations with critical exponent on compact manifolds

Published 16 Oct 2016 in math.AP | (1610.04916v2)

Abstract: Using a variational method we prove the existence of nodal solutions to prescribed scalar Q- curvature type equations on compact Riemannian manifolds with boundary; these equations are fourth-order elliptic equations with critical Sobolev growth .

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