Optimal Regularity Results Related to a Partition Problem Involving the Half-Laplacian
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Publication:3466798
DOI10.1007/978-3-319-17563-8_13zbMath1329.49094OpenAlexW2460129474MaRDI QIDQ3466798
Publication date: 25 January 2016
Published in: New Trends in Shape Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-17563-8_13
singular perturbationssquare root of the Laplacianspatial segregationoptimal regularity of limiting profilesstrongly competing systems
Regularity of solutions in optimal control (49N60) Optimization of shapes other than minimal surfaces (49Q10)
Related Items (3)
Optimal partition problems for the fractional Laplacian ⋮ Global minimizers of coexistence for strongly competing systems involving the square root of the Laplacian ⋮ Regularity results for segregated configurations involving fractional Laplacian
Cites Work
- Hitchhiker's guide to the fractional Sobolev spaces
- Regularity of the nodal set of segregated critical configurations under a weak reflection law
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
- Uniform Hölder regularity with small exponent in competition-fractional diffusion systems
- An optimal partition problem for eigenvalues
- Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition
- Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries
- An Extension Problem Related to the Fractional Laplacian
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