On a fractional sublinear elliptic equation with a variable coefficient

DOI10.1080/00036811.2014.902053zbMath1373.35009arXiv1304.4843OpenAlexW2963812072WikidataQ58186050 ScholiaQ58186050MaRDI QIDQ4982043

Gabriele Terrone, Fabio Punzo

Publication date: 23 March 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4843

zbMATH Keywords

well-posednessporous medium equationRiesz potentialfractional Laplaciansublinear elliptic equations

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Pointwise estimates of Brezis-Kamin type for solutions of sublinear elliptic equations ⋮ Asymptotic decay of solutions for sublinear fractional Choquard equations ⋮ Unnamed Item ⋮ Critical growth problems for ½-Laplacian in ℝ ⋮ On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density

Cites Work

• On some critical problems for the fractional Laplacian operator
• A fractional porous medium equation
• The Brezis-Nirenberg type problem involving the square root of the Laplacian
• Comparison and regularity results for the fractional Laplacian via symmetrization methods
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Asymptotic results for finite energy solutions of semilinear elliptic equations
• Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
• Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
• On the Cauchy problem for a general fractional porous medium equation with variable density
• A concave—convex elliptic problem involving the fractional Laplacian
• A General Fractional Porous Medium Equation
• Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
• Remarks on sublinear elliptic equations
• Asymptotic Properties of Semilinear Equations
• An Extension Problem Related to the Fractional Laplacian

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