Interesting References

• Leon Simon’s Introduction to Geometric Measure Theory pdf
• The work of Luis Caffarelli on fully nonlinear elliptic PDEs link
• Phase transitions, minimal surfaces, and a conjecture of de Giorgi link
• Bernstein theorems for nonlinear geometric PDEs link
• A view on Liouville Theorems in PDE’s link
• Euler-Lagrange equation for parametric elliptic functional link
• Arithmetic–geometric mean link
• What is $\displaystyle\lim_{n\to\infty}\frac1n \left(\text{maximum value of }\sum_{k=1}^n\sin (kx)\right)$ link
• A continuous function with divergent Fourier series link
• Evans-Krylov theorem link
• Liouville-type theorems for elliptic problems link
• $\displaystyle\int\frac{\sin(nx) \sin x}{1-\cos x}\,\mathrm{d}x$ by elementary methods link