Resonance and quasilinear ellipticity

Victor L. Shapiro
1986 Transactions of the American Mathematical Society  
Two resonance-type existence theorems for periodic solutions of second order quasilinear elliptic partial differential equations are established. The first theorem is a best possible result, and the second theorem presents conditions which are both necessary and sufficient.
doi:10.1090/s0002-9947-1986-0825722-7 fatcat:vwtbow7d75eolk6qqvuv4cbtki