Existence and uniqueness of positive solutions of a system of nonlinear algebraic equations
Sign Up to like & getrecommendations! Published in 2017 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-016-0179-3
Abstract: In this paper we consider the nonlinear system $$\gamma _i(x_i)=\sum _{j=1}^{m}g_{ij} (x_j)$$γi(xi)=∑j=1mgij(xj), $$ 1\le i \le m$$1≤i≤m. We give sufficient conditions which imply the existence and uniqueness of positive solutions of the system. Our theorem… read more here.
Keywords: uniqueness positive; system; existence uniqueness; positive solutions ... See more keywords
Uniqueness of positive radial solutions of superlinear elliptic equations in annuli
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DOI: 10.1016/j.jde.2021.02.047
Abstract: Abstract We present a generalized comparison identity for a two point boundary value problem, and we apply it to show the uniqueness of positive radial solutions of { Δ u ( x ) + f… read more here.
Keywords: radial solutions; uniqueness positive; positive radial; solutions superlinear ... See more keywords
Uniqueness of positive solutions to some nonlinear Neumann problems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.06.006
Abstract: Abstract Using the moving plane method, we obtain a Liouville type theorem for nonnegative solutions of the Neumann problem { div ( y a ∇ u ( x , y ) ) = 0 ,… read more here.
Keywords: uniqueness positive; solutions nonlinear; nonlinear neumann; positive solutions ... See more keywords