Multiplicity of Solutions for Some Classes of Prescribed Mean Curvature Equations with Local Conditions

Ledesma C.E.T. · Mediterranean Journal of Mathematics (2023) · DOI: 10.1007/s00009-023-02418-x

Resumen

In this paper, we establish the existence of infinitely many solutions for a class of prescribed mean curvature equation of the type {-div(∇u1+|∇u|2)=f(x,u),inΩ,u=0,on∂Ω, where Ω ⊂ RN(N≥ 1) is a smooth bounded domain and f(x, u) is only locally defined near the origin with respect to u.

Instituciones: Universidad Nacional de Trujillo