Manouni, Said ElMarino, GretaWinkert, Patrick2021-11-122021-11-122021-07-292191-9496https://depositonce.tu-berlin.de/handle/11303/13878http://dx.doi.org/10.14279/depositonce-12651In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at infinity. Our proofs make use of variational tools, truncation techniques and comparison methods. The obtained solutions depend on the first eigenvalues of the Robin and Steklov eigenvalue problems for the p-Laplacian.en510 Mathematikconvection termdouble phase operatormultiplicity resultsnonlinear boundary conditionRobin eigenvalue problemSteklov eigenvalue problemArticle2191-950X