Regularity of solutions to an integral equation associated with Bessel potential

DOI10.3934/CPAA.2011.10.1111zbMath1237.45002OpenAlexW2319064783MaRDI QIDQ652022

Guozhen Lu, Xiaolong Han

Publication date: 19 December 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2011.10.1111

zbMATH Keywords

integral equationdifferential equationpositive solutionBessel potential\(L^\infty\) estimateregularity liftingLipschitz continuity estimate

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Positive solutions of integral equations (45M20)

Related Items (11)

ON REGULARITY OF SOLUTIONS TO AN INTEGRAL SYSTEM ASSOCIATED WITH BESSEL POTENTIALS ⋮ On positive solutions of integral equations with the weighted Bessel potentials ⋮ Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group ⋮ On the regularity of positive solutions of a class of Choquard type equations ⋮ On finite energy solutions of fractional order equations of the Choquard type ⋮ Positive solutions to integral systems with weight and Bessel potentials ⋮ Polyharmonic equations with critical exponential growth in the whole space \(\mathbb{R}^{n}\) ⋮ An integral equation involving Bessel potentials on half space ⋮ A semilinear pseudo-parabolic equation with initial data non-rarefied at \(\infty\) ⋮ Quasilinear equations with source terms on Carnot groups ⋮ Qualitative properties of solutions to an integral system associated with the Bessel potential

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