Multiplicity of solutions for a fractional Laplacian equation involving a perturbation

DOI10.3103/S1068362321060042zbMath1485.35386MaRDI QIDQ2116629

Zhenyu Guo, Yan Deng

Publication date: 18 March 2022

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

multiple solutionsNehari manifoldfractional Laplacian

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Cites Work

• On some critical problems for the fractional Laplacian operator
• Hitchhiker's guide to the fractional Sobolev spaces
• Semilinear elliptic equations for beginners. Existence results via the variational approach
• The Pohozaev identity for the fractional Laplacian
• Mountain pass solutions for non-local elliptic operators
• Variational problems with free boundaries for the fractional Laplacian
• The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
• Weak and viscosity solutions of the fractional Laplace equation
• Regularity of the obstacle problem for a fractional power of the laplace operator
• The boundary Harnack principle for the fractional Laplacian
• The Brezis-Nirenberg result for the fractional Laplacian

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