与全空间奇异分式双相问题有关的存在性结果

IF 4.7 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC ACS Applied Electronic Materials Pub Date : 2024-05-16 DOI:10.3390/fractalfract8050292

R. Alsaedi

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引用次数: 0

摘要

本文将研究涉及整个空间 RN,(N≥2)中分数 (q1(x,.)-q2(x,.)) 拉普拉斯算子的奇异问题。更确切地说，我们将变分法与单调性论证相结合，证明了相关函数能量存在临界点，而临界点是此类问题的弱解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567

期刊介绍： ACS Applied Electronic Materials is an interdisciplinary journal publishing original research covering all aspects of electronic materials. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials science, engineering, optics, physics, and chemistry into important applications of electronic materials. Sample research topics that span the journal's scope are inorganic, organic, ionic and polymeric materials with properties that include conducting, semiconducting, superconducting, insulating, dielectric, magnetic, optoelectronic, piezoelectric, ferroelectric and thermoelectric. Indexed/Abstracted： Web of Science SCIE Scopus CAS INSPEC Portico