Spectral optimization for weighted anisotropic problems with Robin conditions
From MaRDI portal
Publication:6065744
DOI10.1016/j.jde.2023.09.030zbMath1530.35171arXiv2303.01401OpenAlexW4387480290MaRDI QIDQ6065744
Delia Schiera, Giovanni Pisante, Benedetta Pellacci
Publication date: 15 November 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.01401
Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Degenerate elliptic equations (35J70) Ecology (92D40) Quasilinear elliptic equations with (p)-Laplacian (35J92) PDEs in connection with control and optimization (35Q93)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs
- Persistence criteria for populations with non-local dispersion
- Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations
- Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions
- Faber-Krahn inequality for anisotropic eigenvalue problems with Robin boundary conditions
- Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
- Variational methods in geometry
- A logistic equation with nonlocal interactions
- The effects of spatial heterogeneity in population dynamics
- Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
- Minimization of eigenvalues for a quasilinear elliptic Neumann problem with indefinite weight
- Rearrangements and convexity of level sets in PDE
- Regularity for a more general class of quasilinear equations
- Convex symmetrization and applications
- Isoperimetric inequalities, Wulff shape and related questions for strongly nonlinear elliptic operators
- Best dispersal strategies in spatially heterogeneous environments: optimization of the principal eigenvalue for indefinite fractional Neumann problems
- On the first Robin eigenvalue of a class of anisotropic operators
- Convex rearrangement: Equality cases in the Pólya-Szegö inequality
- Shape optimization of a weighted two-phase Dirichlet eigenvalue
- Asymptotic properties of an optimal principal eigenvalue with spherical weight and Dirichlet boundary conditions
- Optimal location of resources maximizing the total population size in logistic models
- Asymptotic spherical shapes in some spectral optimization problems
- Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle
- First eigenvalue and maximum principle for fully nonlinear singular operators
- Steiner symmetrization: a weighted version of Pólya--Szegő principle
- Mathematical analysis of the optimal habitat configurations for species persistence
- Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators
- Analysis of the periodically fragmented environment model. I: Species persistence
- Anisotropic symmetrization
- Evolution of anisotropic diffusion in two-dimensional heterogeneous environments
- The bang-bang property in some parabolic bilinear optimal control problems \textit{via} two-scale asymptotic expansions
- Diffusive logistic equations with indefinite weights: population models in disrupted environments
- Boundary regularity for solutions of degenerate elliptic equations
- Some properties of monotone rearrangement with applications to elliptic equations in cylinders
- On the shape of invading population in anisotropic environments
- Caccioppoli estimates through an anisotropic Picone’s identity
- On harnack type inequalities and their application to quasilinear elliptic equations
- Direct methods in the calculus of variations
- Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
- Singular Analysis of the Optimizers of the Principal Eigenvalue in Indefinite Weighted Neumann Problems
