The Semi-linear Torsional Rigidity on a Complete Riemannian Two-Manifold

الأصل · EN

This note is concerned with some essential properties (optimal isoperimetry, first variation, and monotonicity formula) of the so-called [0,1)γ-torsional rigidity Tᵧ,g on a complete Riemannian two-manifold (M²,g). Even in the special case of R², major results are new.