On positive radial entire solutions of second-order quasilinear elliptic systems.

DOI10.1016/S0022-247X(03)00153-7zbMath1109.35328MaRDI QIDQ1399855

Tomomitsu Teramoto

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorPositive entire solutionsQuasilinear elliptic system

Mathematics Subject Classification ID

Related Items (13)

Existence of nontrivial solutions for singular quasilinear elliptic equations on \(\mathbb R^N\) ⋮ On the existence of radial positive entire solutions for polyharmonic systems ⋮ Nonexistence of nonnegative solutions of elliptic systems of divergence type ⋮ Nonexistence of positive entire solutions for a class of \((p,q)\)-Laplacian elliptic systems ⋮ Remarks on nonexistence of solutions of mixed sublinear and superlinear elliptic equation in \(\mathbb R^N\) ⋮ Entire solutions of quasilinear elliptic equations ⋮ Three solutions for a class of quasilinear elliptic systems involving the \((p,q)\)-Laplacian ⋮ Existence of three solutions for a Navier boundary value problem involving the \((p(x),q(x))\)-biharmonic ⋮ Multiplicity theorems for a class of Dirichlet quasilinear elliptic systems involving the \((p_1,\dots,p_n)\)-Laplacian ⋮ Positive entire solutions for singular \(p\)-Laplacian equations on \(\mathbb R^N\) with \(p \geq N \geq 2\) ⋮ Existence of three solutions for a class of Dirichlet quasilinear elliptic systems involving the \((p_1,\ldots ,p_n)\) -Laplacian ⋮ Existence of three solutions for a class of quasilinear elliptic systems involving the \((p(x),q(x))\)-Laplacian ⋮ Multiplicity of solutions for a class of \((p_1,p_2,\ldots,p_n)\)-Laplacian elliptic systems with a nonsmooth potential

Cites Work

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• On bounded entire solutions of semilinear elliptic equations
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• Structure theorems for positive radial solutions to \(\text{div}(| Du|^{m-2} Du)+K(| x|)u^ q=0\) in \(\mathbb{R}^ n\)
• Symmetric positive entire solutions of second-order quasilinear degenerate elliptic equations
• Symmetry of ground states of quasilinear elliptic equations
• Symmetry of ground states of \(p\)-Laplace equations via the moving plane method
• Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\)
• Nonexistence Results of Positive Entire Solutions for Quasilinear Elliptic Inequalities
• Existence and nonexistence of positive radial entire solutions of second order quasilinear elliptic systems

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