Semilinear equations at resonance with non-symmetric linear part
Let \(L\) be a densely defined unbounded linear operator, and \(N\) a nonlinear map on a Hilbert space. The authors study the operator equation \(Lu=N(u)\), where the kernel of \(L\) may be nontrivial, and no symmetry is required on \(L\), but the nonlinearity is supposed to have sublinear growth.
densely defined unbounded linear operator
scientific article; zbMATH DE number 562705