Concepedia

Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints

Sergiu Aizicovici, Vasile Staicu

Memoirs of the American Mathematical Society · 2008 · 188 citations · 24 references

Concepts

Monge-ampere EquationDegree TheoryElliptic EquationEngineeringVariational AnalysisMonotone TypeInequality ConstraintsElliptic FunctionIntroduction MathematicalAsymmetric Subdifferential BibliographyFunctional AnalysisVariational InequalityCalculus Of VariationVariational InequalitiesNonlinear Functional Analysis

Abstract

Introduction Mathematical background Degree theoretic results Variational-hemivariational inequalities Hemivariational inequalities with an asymmetric subdifferential Bibliography.

References

24

A Strong Maximum Principle for some quasilinear elliptic equations

Juan-Luis V�zquez · Applied Mathematics & Optimization · 1984 · 1.2K citations

Monge-ampere Equation, Elliptic Equation, Elliptic Function +1

Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems

Andrzej Szulkin · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 1986 · 367 citations

Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations

Herbert Amann, Edward J. Zehnder · French digital mathematics library (Numdam) · 1980 · 313 citations

Oscillation Theory, Nonlinear Hyperbolic Problem, Nonlinear Equation +5

Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

Thomas Bartsch, Shujie Li · Nonlinear Analysis · 1997 · 301 citations

Spectral Theory, Engineering, Perturbation Method +6

Fixed point theory and nonlinear problems

Felix E. Browder · Bulletin of the American Mathematical Society · 1983 · 268 citations · Full text

Periodic Solutions, Theoretical Mathematics, Geometry +8