Results on Parabolic Equations Related to Some Caffarelli--Kohn--Nirenberg Inequalities

DOI10.1137/S0036141003432353zbMath1078.35056OpenAlexW2036709102MaRDI QIDQ4652491

Andrea Dall'Aglio, Daniela Giachetti, Ireneo Peral Alonso

Publication date: 28 February 2005

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141003432353

zbMATH Keywords

existence critical exponents nonlinear parabolic equations \(p\)-Laplacian singular potential Caffarelli-Kohn-Nirenberg inequalities behavior of solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)

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