Blog archive

2025

• Sep 18 - Absence of a saddle point in the center of the cross pommy
• Aug 9 - A Diaz-Saa type inequality

2024

• Aug 9 - A remark on a lower bound for Neumann counting function a la Polya

2022

• Mar 22 - Derivative of sin$_p$ with respect to $p$

2020

• Aug 11 - Alternative definition of the first nontrivial Fucik curve
• Apr 24 - Counterexample to a lower bound for the first Dirichlet-Neumann eigenvalue
• Mar 25 - Hadamard shape derivative formula for quasilinear problems. Forgotten references

2019

• Aug 28 - A Picone-type inequality
• Apr 7 - $p$-Laplacian in polar coordinates
• Mar 29 - Optimality of an upper bound for the number of ordered factorizations of odd numbers
• Jan 10 - Pleijel's type estimate for the $p$-Laplacian

2018

• Nov 8 - Higher-order variations of the $p$-Dirichlet energy
• Oct 19 - Sobolev-type inequality with product of norms
• Sep 25 - Growth rate of divisor function for odd numbers
• May 15 - Eigenvalues of cylinders
• May 3 - Can the multiplicity be purely geometric?
• Apr 6 - A wrong integral criterion for Bourget's hypothesis
• Mar 29 - Asymptotic relation for zeros of cross-product of Bessel functions
• Feb 14 - Asymptotic multiplicity of eigenvalues
• Feb 12 - Eigenvalue in a ring with multiplicity 3
• Jan 28 - Pleijel's constant for the disk is 0.4613019...
• Jan 21 - Quantified version of improved Faber-Krahn inequality for $p$-Laplacian

2017

• Dec 2 - Nonexistence of positive solutions for quasilinear elliptic problems depending on a parameter
• Oct 30 - Lower bounds for the first eigenvalue of the $p$-Laplacian
• Oct 5 - Translation of M. Atiyah's ''The Art of Mathematics''
• Aug 3 - Let's try to start)