Monotone methods for semilinear elliptic equations in unbounded domains

DOI10.1016/0022-247X(89)90276-XzbMath0682.35036MaRDI QIDQ1824097

James Graham-Eagle

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

upper and lower solutionsunbounded domainsmonotone iteration

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items

Multiplicity and concentration of solutions for nonhomogeneous elliptic equations in multi-bump domains, On the existence of multiple solutions of nonhomogeneous elliptic equations involving critical Sobolev exponents, Multiple solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent, Existence of two solutions of nonlinear elliptic equations with critical Sobolev exponents and mixed boundary conditions, Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝ^N, Eigenvalue problems and bifurcation of nonhomogeneous semilinear elliptic equations in exterior strip domains, Optimal control governed by a semilinear elliptic differential equation, Optimal control problems governed by non-well-posed semilinear elliptic equation, Existence and multiplicity of positive solutions for semilinear elliptic systems with Sobolev critical exponents, On the existence of multiple positive solutions for a semilinear problem in exterior domains

Cites Work

• Global positive solutions of semilinear elliptic problems
• Positive solutions of quasilinear elliptic equations in exterior domains
• On semilinear elliptic boundary value problems in unbounded domains
• Linear and quasilinear elliptic equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Elliptic Partial Differential Equations of Second Order
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