Nirenberg lists Lewy's mathematical papers under the following topics: (i) partial differential equations involving existence and regularity theory for elliptic and hyperbolic equations, geometric applications, approximation of solutions; (ii) existence and regularity of variational problems, free boundary problems, theory of minimal surfaces; (iii) partial differential equations connected with several complex variables; (iv) partial differential equations connected with water waves and fluid dynamics; (v) offbeat properties of solutions of partial differential equations.
Nirenberg listahan Lewy's matematiko mga papeles sa ilalim ng mga sumusunod na paksa: (i) partial kaugalian equation na kinasasangkutan-iral at kaayusan para sa mga teorya at tambilugin hayperboliko equation, geometriko aplikasyon, approximation ng solusyon; (ii)-iral at kaayusan ng variational problema, libreng boundary problema, teorya ng minimal ibabaw; (iii) bahagyang kaugalian equation na konektado sa ilang mga kumplikadong variable; (iv) bahagyang kaugalian equation na konektado sa tubig waves at likido dinamika; (v) offbeat pag-aari ng mga solusyon ng bahagyang kaugalian equation.