Multiple nonsemitrivial solutions for quasilinear elliptic systems

zbMath1073.35025MaRDI QIDQ2388902

Pavel Drábek, Nikolaos B. Zographopoulos, Nikolaos M. Stavrakakis

Publication date: 27 September 2005

Published in: Differential and Integral Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32)

Related Items (22)

Unnamed Item ⋮ Global bifurcation results on degenerate quasilinear elliptic systems ⋮ Existence and uniqueness of elliptic systems with double phase operators and convection terms ⋮ Nontrivial solutions for potential systems involving the mean curvature operator in Minkowski space ⋮ Multiple nonsemitrivial solutions for quasilinear elliptic systems via associated eigenvalue problems ⋮ On the principal eigenvalue of degenerate quasilinear elliptic systems ⋮ Nonexistence and multiplicity of nontrivial solutions for some nonuniformly nonlinear systems ⋮ Existence and multiplicity results for a degenerate quasilinear elliptic system near resonance ⋮ Estimates for eigenvalues of quasilinear elliptic systems. II. ⋮ On properness and related properties of quasilinear systems on unbounded domains ⋮ Three solutions for a class of quasilinear elliptic systems involving the \((p,q)\)-Laplacian ⋮ Existence of nonnegative solutions for a class of systems involving fractional \((p,q)\)-Laplacian operators ⋮ Existence of three solutions for a Navier boundary value problem involving the \((p(x),q(x))\)-biharmonic ⋮ Necessary and sufficient conditions of existence for positive solution to a class of quasilinear elliptic systems in \(\mathbb R^N\) ⋮ The Nehari manifold for a class of concave-convex elliptic systems involving the \(p\)-Laplacian and nonlinear boundary condition ⋮ Unnamed Item ⋮ Precise asymptotic of eigenvalues of resonant quasilinear systems ⋮ Multiplicity theorems for a class of Dirichlet quasilinear elliptic systems involving the \((p_1,\dots,p_n)\)-Laplacian ⋮ Existence and multiplicity results for a class of coupled quasilinear elliptic systems of gradient type ⋮ 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 result for a class of elliptic problems with non-differentiable terms in \(\mathbb{R}^N\)

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