Solvability of nonlinear elliptic type equation with two unrelated non standard growths
Uğur Sert, Kamal Nasir ogly Soltanov · Journal of the Korean Mathematical Society · 2018
In this paper, we study the solvability of the nonlinear Dirichlet problem with sum of the operators of independent non standard growths in a bounded domain $\Omega \subset \mathbb{R}^{n}$. We obtain sufficient conditions and show the existence of weak solutions of the considered problem by using monotonicity and compactness methods together.