Nonlinear mixed boundary conditions in BVPs of Logistic type with spatial heterogeneities and a nonlinear flux on the boundary with arbitrary sign. The casep>2q−1

作者: Santiago Cano-Casanova

DOI: 10.1016/J.JDE.2013.08.011

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摘要: Abstract This paper analyzes the structure of set positive solutions a general class BVPs Logistic type, with spatial heterogeneities and nonlinear mixed boundary conditions containing flux arbitrary sign. The main results obtained depend on nodal behavior potential appearing in partial differential equation, sign relationship exponents p > 1 , from reaction q boundary. is focused to case 2 − . technical tools used are Characterization Strong Maximum Principle given by H. Amann J. Lopez-Gomez [3] monotonicity technics, blow-up arguments bifurcation. this natural extensions or complements previous ones S. Cano-Casanova [7] [8] C. Morales-Rodrigo A. Suarez [17] Garcia-Melian, Morales-Rodrigo, J.D. Rossi [11]

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