Necessary and sufficient conditions of existence for a system involving the \(p\)-Laplacian (\(1 < p < N\))
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Publication:1874342
DOI10.1016/S0022-0396(02)00094-3zbMath1016.35020MaRDI QIDQ1874342
Publication date: 25 May 2003
Published in: Journal of Differential Equations (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (7)
A multiplicity result for generalized Laplacian systems with multiparameters ⋮ Existence of positive weak solutions for \((p,q)\)-Laplacian nonlinear systems ⋮ Necessary and sufficient conditions of existence for positive solution to a class of quasilinear elliptic systems in \(\mathbb R^N\) ⋮ Positive radial solutions for a quasilinear system ⋮ Positive solutions of elliptic equations with nonlinear boundary conditions ⋮ Classification and simulation of chaotic behaviour of the solutions of a mixed nonlinear Schrödinger system ⋮ Existence of nontrivial solution for a nonlocal elliptic equation with nonlinear boundary condition
Cites Work
- Introduction à la théorie des points critiques et applications aux problèmes elliptiques
- Principal eigenvalues for some quasilinear elliptic equations on \(\mathbb R^N\)
- Extension of Díaz-Saá's inequality in \(\mathbb{R}^N\) and application to a system of \(p\)-Laplacian.
- A strong maximum principle for some quasilinear elliptic equations
- Local behavior of solutions of quasi-linear equations
- Multiple positive solutions for a class of semilinear elliptic boundary value problems
- A Picone's identity for the p-Laplacian and applications
- A note on the asymptotic behavior of positive solutions for some elliptic equation
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