Moving planes, moving spheres, and a priori estimates
Copyright policy )Moving planes, moving spheres, and a priori estimates
The authors use the method of moving planes and the method of moving spheres to obtain a priori estimates for the solutions of semi-linear elliptic equations. By the method of moving planes they establish a sharper estimate on the solutions for prescribing scalar curvature equations with indefinite curvature functions. Applying the method of moving spheres, they give a different proof for a well-known sup+inf inequality established by \textit{H. Brezis, Y. Y. Li} and \textit{I. Shafrir}, [J. Funct. Anal. 115, No. 2, 344--358 (1993; Zbl 0794.35048)].
- Yeshiva University United States
- University of Colorado Boulder United States
sup+inf inequalities, indefinite curvature functions, Moving spheres, A priori estimates, Method of moving planes, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Nonlinear elliptic equations, nonlinear elliptic equations, Indefinite curvature functions, Analysis
sup+inf inequalities, indefinite curvature functions, Moving spheres, A priori estimates, Method of moving planes, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Nonlinear elliptic equations, nonlinear elliptic equations, Indefinite curvature functions, Analysis
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