Existence and multiplicity of positive solutions for the \(p\)-Laplacian with nonlocal coefficient
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Publication:2427253
DOI10.1016/j.jmaa.2008.01.001zbMath1141.35029OpenAlexW1969135840MaRDI QIDQ2427253
Grey Ercole, A. Zumpano, Hamilton P. Bueno, Wenderson M. Ferreira
Publication date: 8 May 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.01.001
Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45)
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Cites Work
- Existence results for quasilinear problems via ordered sub and supersolutions
- Regularity for a more general class of quasilinear equations
- Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
- Maximum and comparison principles for operators involving the \(p\)-Laplacian
- A priori estimates and continuation methods for positive solutions of \(p\)-Laplace equations.
- On positive solutions of nonlocal and nonvariational elliptic problems
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Boundary regularity for solutions of degenerate elliptic equations
- Positive solutions for the p-Laplacian in annuli
- Positive Solutions for the p-Laplacian and Bounds for its First Eigenvalue
- Existence and uniqueness of positive solutions for some quasilinear elliptic problems
- Existence of positive radial solutions for the \(n\)-dimensional \(p\)-Laplacian
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