On a class of semipositone quasilinear elliptic boundary value problems

DOI10.1016/S0362-546X(00)00151-6zbMath1012.35019OpenAlexW2036369038MaRDI QIDQ5953919

Yung-Sze Choi, Eun Heui Kim

Publication date: 16 June 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(00)00151-6

zbMATH Keywords

positive solutionupper and lower solution methodexistence resultsnondegenerate anisotropic diffusion

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25)

Cites Work

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• Existence results for classes of sublinear semipositone problems
• An existence theorem for positive solutions of semilinear elliptic equations
• Symmetry-breaking for positive solutions of semilinear elliptic equations
• Existence of positive solutions for semilinear elliptic equations in general domains
• On the existence of positive solutions of quasilinear elliptic boundary value problems
• An elliptic problem arising from the unsteady transonic small disturbance equation
• Transformation groups and bifurcation at multiple eigenvalues
• A Singular Quasilinear Anisotropic Elliptic Boundary Value Problem. II
• Uniqueness of stable and unstable positive solutions for semipositone problems
• Existence of solutions to the transonic pressure gradient equations of the compressible euler equations in elliptic Regions
• Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball
• On a Singular Quasilinear Anisotropic Elliptic Boundary Value Problem
• Uniqueness of non-negative solutions for a semipositone problem with concave nonlinearity
• A smooth solution for a keldysh type equation

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