Existence of the minimal positive solution of some nonlinear elliptic systems when the nonlinearity is the sum of a sublinear and a superlinear term

DOI10.1007/BF02459006zbMath0958.35033MaRDI QIDQ1574990

Nicolae Tarfulea

Publication date: 2 April 2001

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

positive solutionnonlinear equationreaction diffusion system

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems for higher-order elliptic equations (35J40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

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• On a reaction-diffusion system involving the critical exponent
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Existence and multiplicity of solutions for semilinear elliptic systems
• A Maximum Principle for an Elliptic System and Applications to Semilinear Problems
• Global existence of branches of stationary solutions for a system of reaction diffusion equations from biology
• On steady state solutions of a system of reaction-diffusion equations from biology
• A Dirichlet problem involving critical exponents

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