Nonlocal Hénon equation with nonlinearities involving Sobolev critical and supercritical growth

zbMath1490.35177MaRDI QIDQ2135305

Fábio R. Pereira, Eudes Barboza, Cláudia R. Santana, Olímpio Hiroshi Miyagaki

Publication date: 6 May 2022

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/advances-in-differential-equations/volume-27/issue-7_2f_8/Nonlocal-H%c3%a9non-equation-with-nonlinearities-involving-Sobolev-critical-and-supercritical/ade027-0708-407.full

zbMATH Keywords

compactness principleexistence of a radial solutionfractional Hénon equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

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• On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems
• On some critical problems for the fractional Laplacian operator
• Hitchhiker's guide to the fractional Sobolev spaces
• The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
• Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
• The sharp exponent in the study of the nonlocal Hénon equation in \(\mathbb{R}^N\): a Liouville theorem and an existence result
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Symétrie et compacité dans les espaces de Sobolev
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Multiplicity results for some elliptic problems with concave nonlinearities
• Existence theorems for the Schrödinger equation involving a critical Sobolev exponent
• Variational methods for non-local operators of elliptic type
• Fractional Hardy-Sobolev equations with nonhomogeneous terms
• Delaunay-type singular solutions for the fractional Yamabe problem
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• The Brezis-Nirenberg result for the fractional Laplacian