Multiplicity of positive solutions for a \((p_1,p_2)\)-Laplacian system and its applications

DOI10.1016/j.nonrwa.2012.02.004zbMath1272.34031OpenAlexW2031629358MaRDI QIDQ1926209

Haishen Lü, Xi-you Cheng

Publication date: 28 December 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.02.004

zbMATH Keywords

positive solutionfixed point indexLeray-Schauder degree\((p_1,p_2)\)-Laplacian systemstrict lower and upper solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items (15)

A fixed point operator for systems of vector \(p\)-Laplacian with singular weights ⋮ Multiple positive solutions of a \((p_{1},p_{2})\)-Laplacian system with nonlinear BCs ⋮ Radial non-potential Dirichlet systems with mean curvature operator in Minkowski space ⋮ A fixed point theorem for systems of nonlinear operator equations and applications to \((p_1, p_2)\)-Laplacian system ⋮ Unnamed Item ⋮ Global existence structure of parameters for positive solutions of a singular \((p_1,p_2)\)-Laplacian system ⋮ Positive radial solutions for Dirichlet problems in the ball ⋮ Some existence results of positive solutions for \(\varphi\)-Laplacian systems ⋮ Positive radial solutions for multiparameter Dirichlet systems with mean curvature operator in Minkowski space and Lane-Emden type nonlinearities ⋮ A fixed point theorem for systems of operator equations and its application ⋮ Bifurcation analysis for a singular differential system with two parameters via to topological degree theory ⋮ Existence and multiplicity results for generalized Laplacian problems with a parameter ⋮ Unnamed Item ⋮ On the Dirichlet problem associated with bounded perturbations of positively-\((p, q)\)-homogeneous Hamiltonian systems ⋮ Positive solutions for coupled nonlinear fractional differential equations

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