Some new applications of the method of lower and upper solutions to elliptic problems

DOI10.1016/0893-9659(93)90076-YzbMath0791.35049OpenAlexW2043334110WikidataQ126310936 ScholiaQ126310936MaRDI QIDQ1324490

José Luis Gámez, Antonio Cañada Villar

Publication date: 24 May 1994

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(93)90076-y

zbMATH Keywords

application to some degenerate elliptic problemsexistence of a minimal and a maximal solutionmonotone scheme of iteration

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Population dynamics (general) (92D25) Degenerate elliptic equations (35J70)

Related Items (4)

Existence of positive solutions for some problems with nonlinear diffusion ⋮ Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics ⋮ Structure of positive solutions for some semilinear elliptic systems where bifurcation from infinity occurs ⋮ On positive solutions for a class of singular quasilinear elliptic systems

Cites Work

• Existence of positive solutions for elliptic systems - degenerate and nondegenerate ecological models
• Stability and uniqueness of positive solutions for a semi-linear elliptic boundary value problem
• On the existence of a maximal weak solution for a semilinear elliptic equation
• Maximal and minimal solutions of elliptic differential equations with discontinuous non-linearities
• Remarks on sublinear elliptic equations
• Support properties of solutions for a class of degenerate parabolic problems
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