Existence of Nonnegative Solutions of a Semilinear Equation at Resonance with Linear Growth

DOI10.2307/2047060zbMath0687.47045OpenAlexW4251319559MaRDI QIDQ4205975

Jairo Santanilla

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047060

zbMATH Keywords

coincidence degreeFredholm operator of index zeroCaratheodory functionat reasonancenecessarily linear but with at most linear growthnonnegative solutions for some semilinear differential equationsnonnegative solutions for some semilinear differential equations at reasonance

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Boundary value problems for higher-order elliptic equations (35J40) Fixed-point and coincidence theorems (topological aspects) (54H25) Boundary value problems for nonlinear higher-order PDEs (35G30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) (Semi-) Fredholm operators; index theories (47A53)

Related Items (6)

Computation of fixed point index and applications to superlinear periodic problem ⋮ On the existence of solutions of nonlinear equations ⋮ The existence and multiplicity of positive solutions for second-order periodic boundary value problem ⋮ A fixed-point index and existence theorems for semilinear equations in cones ⋮ On the nonlocal boundary value problem of geophysical fluid flows ⋮ Existence theorems for semilinear equations in cones

Cites Work

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• Addendum

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