On positive solutions for \((p,q)\)-Laplace equations with two parameters

DOI10.1007/S00526-015-0903-5zbMath1328.35052arXiv1411.5192OpenAlexW3102421111MaRDI QIDQ889751

Vladimir Bobkov, Mieko Tanaka

Publication date: 9 November 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5192

zbMATH Keywords

positive solutionsDirichlet boundary conditionfirst Dirichlet eigenvalue\((p,q)\)-Laplace equation

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Boundary value problems for higher-order elliptic equations (35J40) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (23)

Nonlinear eigenvalue problems and bifurcation for quasi-linear elliptic operators ⋮ On a Dirichlet problem with \((p,q)\)-Laplacian and parametric concave-convex nonlinearity ⋮ Multiplicity of positive solutions for (p,q)-Laplace equations with two parameters ⋮ Minimization problems for inhomogeneous Rayleigh quotients ⋮ Monotonicity properties for the variational Dirichlet eigenvalues of the \(p\)-Laplace operator ⋮ Remarks on minimizers for \((p,q)\)-Laplace equations with two parameters ⋮ Some recent results on the Dirichlet problem for \((p,q)\)-Laplace equations ⋮ On sign-changing solutions for \((p,q)\)-Laplace equations with two parameters ⋮ Global existence, asymptotic stability and blow up of solutions for a nonlinear viscoelastic plate equation involving \((p(x), q(x))\)-Laplacian operator ⋮ A finding of the maximal saddle-node bifurcation for systems of differential equations ⋮ Multiple solutions for asymptotically q‐linear (p, q)‐Laplacian problems ⋮ On sublinear singular \((p, q)\) Laplacian problems ⋮ On the Fučik spectrum for the \(p,q\)-Laplacian ⋮ On a positive solutions for $(p,q)$-Laplacian Steklov problem with two parameters ⋮ Asymptotic behavior and monotonicity of radial eigenvalues for the \(p\)-Laplacian ⋮ On the monotonicity of the principal frequency of the \(p\)-Laplacian ⋮ On sign-changing solutions for resonant (p,q)-Laplace equations ⋮ Ground states of elliptic problems over cones ⋮ Generalized Picone inequalities and their applications to \((p,q)\)-Laplace equations ⋮ A singular eigenvalue problem for the Dirichlet \((p, q)\)-Laplacian ⋮ On the Fredholm-type theorems and sign properties of solutions for \((p, q)\)-Laplace equations with two parameters ⋮ Local minimizers for a class of functionals over the Nehari set ⋮ Positive radial solutions for a class of \((p, q)\) Laplacian in a ball

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