Existence and symmetries for elliptic equations with multipolar potentials and polyharmonic operators

DOI10.1512/iumj.2013.62.5131zbMath1303.35040OpenAlexW2083195493MaRDI QIDQ5168682

Cláudia Aline A. S. Mesquita, Lucas C. F. Ferreira

Publication date: 18 July 2014

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2013/5131

zbMATH Keywords

symmetrystabilityregularityexistence of solutionselliptic equationspolyharmonic operatormultipolar potentials

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs with low regular coefficients and/or low regular data (35R05) PDEs in connection with quantum mechanics (35Q40) Green's functions for ordinary differential equations (34B27) Schrödinger operator, Schrödinger equation (35J10) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Positive solutions to PDEs (35B09) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (8)

On elliptic equations with singular potentials and nonlinear boundary conditions ⋮ An approach without using Hardy inequality for the linear heat equation with singular potential ⋮ Dirichlet problems involving the Hardy-Leray operators with multiple polars ⋮ A Fourier analysis approach to elliptic equations with critical potentials and nonlinear derivative terms ⋮ An approach to elliptic equations with nonlinear gradient terms via a modulation framework ⋮ On the heat equation with nonlinearity and singular anisotropic potential on the boundary ⋮ On fractional multi-singular Schrödinger operators: positivity and localization of binding ⋮ On the eventual local positivity for polyharmonic heat equations

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