An Overview of the Lower and Upper Solutions Method with Nonlinear Boundary Value Conditions

References

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	Year	Citations
Blow-up of semilinear pde’s at the critical dimension. A probabilistic approach Matthias Birkner, José Alfredo López-Mimbela, Anton Wakolbinger Proceedings of the American Mathematical Society Dirichlet FormElliptic EquationCritical DimensionRiemann-hilbert ProblemPhysics	2002	1K
On the equation of turbulent filtration in one- dimensional porous media Juan R. Esteban, Juan Luís Vázquez Nonlinear Analysis FiltrationPore StructureEngineeringFluid MechanicsTurbulence	1986	210
Pairs of positive solutions for the one-dimensional p-Laplacian C. De Coster Nonlinear Analysis Elliptic EquationPositive SolutionsPotential TheoryFunctional AnalysisNonlinear Functional Analysis	1994	138
On the propagation properties of a nonlinear degenerate parabolic equation Miguel A. Herrero, Juan Luís Vázquez Communications in Partial Differential Equations Hyperbolic Conservation LawPartial Differential EquationsParabolic EquationNonlinear EquationNonlinear Hyperbolic Problem	1982	82
On principally linear elliptic differential equations of the second order Mitio Nagumo OUKA (Osaka University Knowledge Archive) (Osaka University) Monge-ampere EquationElliptic EquationSecond OrderNonlinear Functional AnalysisElliptic Function	1954	79
Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions Mingxing Wang, Alberto Cabada, Juan J. Nieto Annales Polonici Mathematici Numerical AnalysisMethod Of Fundamental SolutionLower Solution MethodFree Boundary ProblemGeneralized Upper	1993	66
Existence results for the problem (φ(u′))′=f(t,u,u′) with nonlinear boundary conditions Alberto Cabada, Rodrigo López Pouso Nonlinear Analysis Existence ResultsFree Boundary ProblemNonlinear EquationFunctional AnalysisNonlinear Functional Analysis	1999	66
Existence result for the problem (φ(u′))′ = f(t, u, u′) with periodic and Neumann boundary conditions Alberto Cabada, Rodrigo López Pouso Nonlinear Analysis Elliptic EquationFree Boundary ProblemNeumann Boundary ConditionsExistence ResultFunctional Analysis	1997	52
Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions Alberto Cabada, Rodrigo López Pouso Nonlinear Analysis Elliptic EquationOscillation TheoryNonlinear EquationNonlinear Hyperbolic ProblemExtremal Solutions	2000	51
Existence of solutions to boundary value problems for second order differential equations Lynn Erbe Nonlinear Analysis Elliptic EquationFree Boundary ProblemParabolic EquationNonlinear Hyperbolic ProblemValue Problems	1982	47

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