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The study of problems with variable exponents is becoming more and more popular due to a wide range of applications to various domains. In this context, we are concerned with elliptic problems involving generalized operators that are related to two well known classes of operators, that is, the Laplace - type operators and the mean curvature - type operators. Our discussion is conducted in the framework of the spaces with variable exponents and the main argumentation is made by means of the critical point theory. |
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