On nonlinear Rayleigh quotients

DOI10.1007/BF01048505zbMath0795.35039MaRDI QIDQ686114

Peter Lindqvist

Publication date: 14 September 1994

Published in: Potential Analysis (Search for Journal in Brave)

zbMATH Keywords

\(p\)-harmonic operatornonlinear Rayleigh quotientsstability of nonlinear eigenvalues

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability in context of PDEs (35B35) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32)

Related Items

Stability of the norm-eigenfunctions of the \(p(\cdot)\)-Laplacian, Convergence of the eigenvalues of the \(p\)-Laplace operator as \(p\) goes to 1, The convergence of nonnegative solutions for the family of problems −Δ_pu=λe^uasp→∞, Minimization problems for inhomogeneous Rayleigh quotients, Eigenvalues for double phase variational integrals, Monotonicity properties for the variational Dirichlet eigenvalues of the \(p\)-Laplace operator, Monotonicity with respect to \(p\) of the first nontrivial eigenvalue of the \(p\)-Laplacian with homogeneous Neumann boundary conditions, A quantitative stability estimate for the fractional Faber-Krahn inequality, Stability of variational eigenvalues for the fractional \(p\)-Laplacian, Concavity principles for nonautonomous elliptic equations and applications, On a class of Cheeger inequalities, Asymptotic behavior and monotonicity of radial eigenvalues for the \(p\)-Laplacian, On the dependence on \(p\) of the variational eigenvalues of the \(p\)-Laplace operator, The first eigenvalue of the \(p\)-Laplacian on a compact Riemannian manifold., Nonzero positive weak solutions of systems of \(p\)-Laplace equations, On local Morse theory for \(p\)-area functionals, \(p > 2\), Stability for parabolic quasiminimizers, On a superlinear elliptic \(p\)-Laplacian equation., On the monotonicity of the principal frequency of the \(p\)-Laplacian, A variational inequality theory in reflexive smooth Banach spaces and applications to \(p\)-Laplacian elliptic inequalities, Marino-Prodi perturbation type results and Morse indices of minimax critical points for a class of functionals in Banach spaces, Stability of eigenvalues for variable exponent problems, Multiple solutions of a superlinearp-Laplacian equation without AR-condition, Monotonicity, continuity and differentiability results for the \(L^{p}\) Hardy constant, A variational inequality theory with applications to \(p\)-Laplacian elliptic inequalities, Global bifurcation of the \(p\)-Laplacian and related operators, An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit, On the second Dirichlet eigenvalue of some nonlinear anisotropic elliptic operators, The equality case in Cheeger's and Buser's inequalities on \(\mathsf{RCD}\) spaces, Continuity of the first eigenvalue for a family of degenerate eigenvalue problems, The limit as $p\to 1$ of the higher eigenvalues of the $p$-Laplacian operator $\Delta_p$, Dirichlet \(p\)-Laplacian eigenvalues and Cheeger constants on symmetric graphs, Global regularity and stability of solutions to elliptic equations with nonstandard growth, The monotonicity of the principal frequency of the anisotropic \(p\)-Laplacian, Some local eigenvalue estimates involving curvatures, Positive solutions of one-dimensional \(p\)-Laplacian problems with superlinearity, Extension of a result by Lindquist to Lebesgue spaces with variable exponents, Stability of degenerate parabolic Cauchy problems

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