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arXiv · 1703.09411

Solvability of Nonlinear Elliptic Type Equation With Two Unrelated Non standard Growths

Uğur Sert·Kamal Soltanov
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Abstract

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.

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Uğur Sert, Kamal Soltanov. 2017-03-28. Solvability of Nonlinear Elliptic Type Equation With Two Unrelated Non standard Growths. https://arxiv.org/abs/1703.09411

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