Existence Results Related to a Singular Fractional Double-Phase Problem in the Whole Space

Fractal and Fractional（2024）

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摘要

In this paper, we will study a singular problem involving the fractional (q1(x,.)-q2(x,.))-Laplacian operator in the whole space RN,(N≥2). More precisely, we combine the variational method with monotonicity arguments to prove that the associated functional energy admits a critical point, which is a weak solution for such a problem.

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关键词

fractional Laplacian,singular elliptic problem,variational methods,generalized Sobolev spaces

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