Multiple solutions for some strongly degenerate second order elliptic equations

DOI10.3233/ASY-211728zbMath1504.35375arXiv2012.01951OpenAlexW3202731848MaRDI QIDQ5104661

João R. Santos Júnior, Gaetano Siciliano

Publication date: 15 September 2022

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

Full work available at URL: https://arxiv.org/abs/2012.01951

zbMATH Keywords

elliptic equationsdegenerate operatorsvanishing solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Degenerate elliptic equations (35J70) Second-order elliptic equations (35J15)

Cites Work

• The Wiener test for degenerate elliptic equations
• Multiple solutions of degenerate perturbed elliptic problems involving a subcritical Sobolev exponent
• Boundary value problems for some degenerate-elliptic operators
• Weighted Sobolev spaces and embedding theorems
• The local regularity of solutions of degenerate elliptic equations
• Degenerate Diffusion Operators Arising in Population Biology
• The Geometric Microlocal Analysis of Generalized Kimura and Heston Diffusions
• Diffusion models in population genetics
• Poincaré inequalities for Sobolev spaces with matrix-valued weights and applications to degenerate partial differential equations
• Dead Cores and Bursts for Quasilinear Singular Elliptic Equations
• Weighted Norm Inequalities for the Hardy Maximal Function
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