Add to ORKGA one-parameter family of variational problems is introduced that interpolates between tor-sional rigidity and the first Dirichlet eigenvalue of the Laplacian. The associated partial differential equation is derived, which is shown to have positive solutions in many cases. Results are obtained regarding extremal domains and regarding variations of the domain or the parameter.
We study, in dimension n > 2, the eigenvalue problem and the torsional rigidity for the p-Laplacian ...
We study, in dimension n > 2, the eigenvalue problem and the torsional rigidity for the p-Laplacian ...
We consider the sharp Sobolev-Poincaré constant for the embedding of W01,2(Ω) into Lq(Ω). We show th...
AbstractA one-parameter family of variational problems is examined that interpolates between torsion...
We discuss some classical results such as Faber-Krahn inequality, K\"{o}hler-Jobin inequality and P\...
We consider the problem of minimising or maximising the quantity $lambda(Omega)T^q(Omega)$ on the cl...
We consider the problem of minimising or maximising the quantity $lambda(Omega)T^q(Omega)$ on the cl...
We consider the torsional rigidity and the principal eigenvalue related to the $p$-Laplace operator....
We generalize to the $p-$Laplacian $\Delta_p$ a spectral inequality proved by M.-T. Kohler-Jobin. As...
We generalize to the p-Laplacian Δp a spectral inequality proved by M.-T. Ko...
We present some open problems and obtain some partial results for spectral optimization prob-lems in...
We present some open problems and obtain some partial results for spectral optimization problems inv...
In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary ...
In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary ...
In this paper we generalize some classical estimates involving the torsional rigidity and the princi...
We study, in dimension n > 2, the eigenvalue problem and the torsional rigidity for the p-Laplacian ...
We study, in dimension n > 2, the eigenvalue problem and the torsional rigidity for the p-Laplacian ...
We consider the sharp Sobolev-Poincaré constant for the embedding of W01,2(Ω) into Lq(Ω). We show th...
AbstractA one-parameter family of variational problems is examined that interpolates between torsion...
We discuss some classical results such as Faber-Krahn inequality, K\"{o}hler-Jobin inequality and P\...
We consider the problem of minimising or maximising the quantity $lambda(Omega)T^q(Omega)$ on the cl...
We consider the problem of minimising or maximising the quantity $lambda(Omega)T^q(Omega)$ on the cl...
We consider the torsional rigidity and the principal eigenvalue related to the $p$-Laplace operator....
We generalize to the $p-$Laplacian $\Delta_p$ a spectral inequality proved by M.-T. Kohler-Jobin. As...
We generalize to the p-Laplacian Δp a spectral inequality proved by M.-T. Ko...
We present some open problems and obtain some partial results for spectral optimization prob-lems in...
We present some open problems and obtain some partial results for spectral optimization problems inv...
In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary ...
In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary ...
In this paper we generalize some classical estimates involving the torsional rigidity and the princi...
We study, in dimension n > 2, the eigenvalue problem and the torsional rigidity for the p-Laplacian ...
We study, in dimension n > 2, the eigenvalue problem and the torsional rigidity for the p-Laplacian ...
We consider the sharp Sobolev-Poincaré constant for the embedding of W01,2(Ω) into Lq(Ω). We show th...