Uniform bounds for strongly competing systems: the optimal Lipschitz case
From MaRDI portal
Publication:493124
DOI10.1007/s00205-015-0867-9zbMath1478.35120arXiv1407.6674OpenAlexW2008322054MaRDI QIDQ493124
Alessandro Zilio, Nicola Soave
Publication date: 11 September 2015
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.6674
Related Items (35)
Hölder bounds and regularity of emerging free boundaries for strongly competing Schrödinger equations with nontrivial grouping ⋮ New radial solutions of strong competitive \(m\)-coupled elliptic system with general form in \(B_1(0)\) ⋮ Predators–prey models with competition, Part I: Existence, bifurcation and qualitative properties ⋮ The effect of random dispersal on competitive exclusion - a review ⋮ Uniform Lipschitz regularity of flat segregated interfaces in a singularly perturbed problem ⋮ On a two-component Bose-Einstein condensate with steep potential wells ⋮ Spreading speeds and monostable waves in a reaction-diffusion model with nonlinear competition ⋮ Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two ⋮ Free boundary problems with long-range interactions: uniform Lipschitz estimates in the radius ⋮ Non-synchronized solutions to nonlinear elliptic Schrödinger systems on a closed Riemannian manifold ⋮ On a long range segregation model ⋮ Global minimizers of coexistence for strongly competing systems involving the square root of the Laplacian ⋮ An anisotropic monotonicity formula, with applications to some segregation problems ⋮ Interface layer of a two-component Bose–Einstein condensate ⋮ Construction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameter ⋮ Global exponential stability of bistable traveling waves in a reaction-diffusion system with cubic nonlinearity ⋮ Ground states of nonlinear Schrödinger systems with mixed couplings ⋮ Infinitely many nonradial positive solutions for multi-species nonlinear Schrödinger systems in \(\mathbb{R}^N\) ⋮ Optimal uniform bounds for competing variational elliptic systems with variable coefficients ⋮ Positive vector solutions for nonlinear Schrödinger systems with strong interspecies attractive forces ⋮ Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system ⋮ On the asymptotic growth of positive solutions to a nonlocal elliptic blow-up system involving strong competition ⋮ Partial symmetry of normalized solutions for a doubly coupled Schrödinger system ⋮ Normalized solutions for nonlinear Schrödinger systems on bounded domains ⋮ Regularity results for segregated configurations involving fractional Laplacian ⋮ Variational problems with long-range interaction ⋮ On phase separation in systems of coupled elliptic equations: asymptotic analysis and geometric aspects ⋮ Spiked solutions for Schrödinger systems with Sobolev critical exponent: the cases of competitive and weakly cooperative interactions ⋮ Uniqueness and least energy property for solutions to a strongly coupled elliptic system ⋮ A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems ⋮ Limit configurations of Schrödinger systems versus optimal partition for the principal eigenvalue of elliptic systems ⋮ On a critical Schrödinger system in \(\mathbb{R}^4\) with steep potential wells ⋮ Competition in periodic media. III: Existence and stability of segregated periodic coexistence states ⋮ A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems ⋮ Extremality conditions and regularity of solutions to optimal partition problems involving Laplacian eigenvalues
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extremality conditions and regularity of solutions to optimal partition problems involving Laplacian eigenvalues
- Hölder bounds and regularity of emerging free boundaries for strongly competing Schrödinger equations with nontrivial grouping
- On entire solutions of an elliptic system modeling phase separations
- Uniform Hölder bounds for strongly competing systems involving the square root of the Laplacian
- Uniform Hölder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species
- The limit equation for the Gross-Pitaevskii equations and S. Terracini's conjecture
- Regularity of the nodal set of segregated critical configurations under a weak reflection law
- Uniform Hölder estimates in a class of elliptic systems and applications to singular limits in models for diffusion flames
- Some new results in competing systems with many species
- Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
- The effects of interference competition on stability, structure and invasion of a multi-species system
- Some new monotonicity theorems with applications to free boundary problems.
- Nehari's problem and competing species systems.
- An optimal partition problem related to nonlinear eigenvalues.
- Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
- On phase-separation models: asymptotics and qualitative properties
- Liouville theorems and 1-dimensional symmetry for solutions of an elliptic system modelling phase separation
- The geometry of solutions to a segregation problem for nondivergence systems
- A free boundary problem arising from segregation of populations with high competition
- Uniform Hölder regularity with small exponent in competition-fractional diffusion systems
- Monotonicity and 1-dimensional symmetry for solutions of an elliptic system arising in Bose-Einstein condensation
- Asymptotic estimates for the spatial segregation of competitive systems
- On the De Giorgi Type Conjecture for an Elliptic System Modeling Phase Separation
- Strong Competition versus Fractional Diffusion: The Case of Lotka-Volterra Interaction
- Almost monotonicity formulas for elliptic and parabolic operators with variable coefficients
- Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition
- Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries
- Variational problems with two phases and their free boundaries
- A variational problem for the spatial segregation of reaction-diffusion systems
- Entire solutions with exponential growth for an elliptic system modelling phase separation
- Asymptotic behaviour of solutions of planar elliptic systems with strong competition
This page was built for publication: Uniform bounds for strongly competing systems: the optimal Lipschitz case
