Nehari manifold approach for double phase problems involving anisotropic matrices diffusion
Abderrahim Charkaoui, Mohammed Srati · Applicable Analysis · 2025
This paper tackles new kind of double phase problems characterized by variable exponent matrices diffusion and nonlinear boundary conditions. Using the Nehari manifold technique, we investigate the existence and multiplicity results of nonnegative weak solutions within the Musielak–Orlicz framework. Our methodology primarily integrates variational methods with novel technical estimates.