Nonlinear perturbations of uncoupled systems of elliptic operators

DOI10.1007/BF01344170zbMath0297.35027OpenAlexW2059116508MaRDI QIDQ1214043

Robert H. jun. Martin

Publication date: 1974

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162642

Mathematics Subject Classification ID

Related Items (11)

A prior1 bounds for a class of stationary diffusion systems ⋮ Existence of solutions for a class of weakly coupled semilinear elliptic systems ⋮ Shape-invariant bounds and more general estimates for vector-valued elliptic-parabolic problems ⋮ Enclosure statements for systems of semilinear parabolic differential equations. ⋮ 3.—A Criterion for the Existence of Solutions of Non-linear Elliptic Boundary Value Problems ⋮ Relatively continuous nonlinear perturbations of analytic semigroups ⋮ Perturbations of second order elliptic operators and semi-linear evolution equations ⋮ Stationary solutions of reaction-diffusion equations ⋮ Solutions for systems of nonlinear elliptic equations with nonlinear boundary conditions ⋮ Steady state solutions for certain reaction diffusion systems ⋮ Invariant sets and existence theorems for semilinear parabolic and elliptic systems

Cites Work

• Invariant sets for perturbed semigroups of linear operators
• Pseudo-monotone operators in Banach spaces and nonlinear elliptic equations
• On nonlinear mappings of monotone type with respect to two Banach spaces
• Perturbations of nonlinear maximal monotone sets in banach space
• On a Unilateral Problem Associated with Elliptic Operators
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