Existence and regularity results for a degenerate elliptic nonlinear equation on weighted Sobolev spaces

DOI10.2989/16073606.2023.2205033OpenAlexW4375951786MaRDI QIDQ6123573

Morteza Koozehgar Kalleji, Mohsen Alimohammady, Carlo Cattani

Publication date: 5 April 2024

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2023.2205033

zbMATH Keywords

variational methodsnonlinear eigenvalue problemdegenerate elliptic equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Degenerate elliptic equations (35J70) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Cites Work

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• Functional analysis, Sobolev spaces and partial differential equations
• Elliptic partial differential equations of second order
• Boundary value problems for some degenerate-elliptic operators
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Weighted Sobolev spaces and embedding theorems
• The Ljusternik-Schnirelman theory for indefinite and not necessarily odd nonlinear operators and its applications
• The Geometric Microlocal Analysis of Generalized Kimura and Heston Diffusions
• Dead Cores and Bursts for Quasilinear Singular Elliptic Equations
• On harnack type inequalities and their application to quasilinear elliptic equations
• On locally uniformly convex and differentiable norms in certain non-separable Banach spaces
• Weighted Norm Inequalities for the Hardy Maximal Function

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