The sublinear problem for the 1-homogeneous đ-Laplacian
DOI10.1090/S0002-9939-2014-12108-3zbMath1306.35047OpenAlexW2027407383MaRDI QIDQ3189570
Pedro J. MartĂnez-Aparicio, Julio D. Rossi, Mayte PĂ©rez-Llanos
Publication date: 12 September 2014
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12108-3
existenceuniquenesscomparison principlePerron methodbounded domain\(\infty\)-Laplacianstarshaped domainpositive viscosity solution1-homogeneous \(p\)-Laplacian
Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40) Quasilinear elliptic equations with (p)-Laplacian (35J92) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Comparison principles in context of PDEs (35B51)
Related Items (3)
Cites Work
- On the Aleksandrov-Bakelman-Pucci estimate for the infinity Laplacian
- Harnack's inequality and the strong \(p(\cdot )\)-Laplacian
- Principal eigenvalue of a very badly degenerate operator and applications
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