Multiple solutions for some elliptic equations with non-homogeneous boundary conditions.
In this paper we state the existence of infinitely many solutions of the nonlinear elliptic equation \(-\Delta u=a(x)|u|^{q-2}u+b(x)|u|^{p-2}u+f(x)\) with non-homogeneous boundary conditions. A suitable perturbative method and variational tools apply to such a non-symmetric problem.
scientific article; zbMATH DE number 2095011