Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary-value problems with resonance at inifinity
The Fučik spectrum and the theory of ordinary differential operators in Banach spaces are used to study semilinear elliptic boundary-value problems with jumping nonlinearities with zero or infinities, especially resonances of infinity. Results for the existence of multiple solutions and sign-changing solutions are obtained.
semilinear elliptic boundary-value problems
scientific article; zbMATH DE number 1542458
scientific article