Multiplicity of Solution for Some Classes of Prescribed Mean Curvature Equation with Dirichlet Boundary Condition

Alves C.O.; Ledesma C.E.T. · Journal of Geometric Analysis (2022) · DOI: 10.1007/s12220-022-01010-1

Resumen

In this paper, we establish the existence of infinite many solutions for a class of prescribed mean curvature equation of the type {-div(∇u1+|∇u|2)=f(u),inΩ,u=0,on∂Ω,where Ω ⊂ RN(N≥ 1) is a smooth bounded domain, by assuming different conditions on the nonlinearity f.

Instituciones: Universidad Nacional de Trujillo