NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS
Copyright policy )NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS
Summary: In this paper we use the topological degree and the Krein-Rutman theorem to investigate the existence of nontrivial radial solutions for a system of second order elliptic equations. Our results are obtained under some conditions involving the eigenvalues of a relevant linear operator.
Krein-Rutman theorem, Nonlinear boundary value problems for ordinary differential equations, Boundary value problems for second-order elliptic equations, Degree theory for nonlinear operators, Applications of operator theory to differential and integral equations, elliptic equations, nontrivial radial solutions, Positive solutions to nonlinear boundary value problems for ordinary differential equations, Nonlinear elliptic equations, topological degree
Krein-Rutman theorem, Nonlinear boundary value problems for ordinary differential equations, Boundary value problems for second-order elliptic equations, Degree theory for nonlinear operators, Applications of operator theory to differential and integral equations, elliptic equations, nontrivial radial solutions, Positive solutions to nonlinear boundary value problems for ordinary differential equations, Nonlinear elliptic equations, topological degree
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