Some comparison and uniqueness theorems for nonlinear elliptic boundary value problems and nonlinear parabolic initial-boundary value problems

DOI10.1016/S0362-546X(96)00097-1zbMath0880.35011OpenAlexW7326306MaRDI QIDQ4354586

Shang-bin Cui

Publication date: 28 January 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00097-1

zbMATH Keywords

uniquenesspositive solutionsquasilinear elliptic boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

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• Comparison and positivity theorems for linear and nonlinear boundary value problems
• Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems
• A uniqueness theorem for nonlinear elliptic boundary value problems
• Uniqueness for sublinear boundary value problems
• The Free Boundary of a Semilinear Elliptic Equation
• Comparison and Uniqueness of Positive Solutions for the mixed problem for semi-linear Parabolic Equations
• Positive solutions for Dirichlet problems associated to semilinear elliptic equations with singular nonlinearity
• Nonexistence and uniqueness of positive solutions of nonlinear eigenvalue problems

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