Global minimizers of coexistence for strongly competing systems involving the square root of the Laplacian

Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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Uniform bounds for strongly competing systems: the optimal Lipschitz case
Uniform Hölder bounds for strongly competing systems involving the square root of the Laplacian
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
Singularities of the nodal set of segregated configurations
Minimal coexistence configurations for multispecies systems
Some new results in competing systems with many species
Positive solutions of nonlinear problems involving the square root of the Laplacian
Competing species equations with diffusion, large interactions, and jumping nonlinearities
Dynamics of Lotka-Volterra competition systems with large interaction
On a long range segregation model
Variational problems with long-range interaction
Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
Regularity results for segregated configurations involving fractional Laplacian
Regularity of shape optimizers for some spectral fractional problems
Some remarks on segregation of \(k\) species in strongly competing systems
Optimal partition problems for the fractional Laplacian
Segregated configurations involving the square root of the Laplacian and their free boundaries
The geometry of solutions to a segregation problem for nondivergence systems
Uniform Hölder regularity with small exponent in competition-fractional diffusion systems
Asymptotic estimates for the spatial segregation of competitive systems
Global minimizers of coexistence for competing species
Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition
Optimal Regularity Results Related to a Partition Problem Involving the Half-Laplacian
Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries
Spiraling Asymptotic Profiles of Competition‐Diffusion Systems
An Extension Problem Related to the Fractional Laplacian
Asymptotic behaviour of solutions of planar elliptic systems with strong competition

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