29 citations · 75 across the 10 of their papers we have counts for
13 papers
On the variety of solutions of 1-dimensional nonlinear eigenvalue problems
Catherine Bandle, Simon Stingelin, Alfred Wagner
Second order nonlinear eigenvalue problems are considered for which the spectrum is an interval. The boundary conditions are of Robin and Dirichlet type. The shape and the number o…
Positive solutions of semilinear elliptic problems with a Hardy potential
Catherine Bandle, Maria Assunta Pozio
Let be a bounded domain and be the distance of a point to the boundary. We study the positive solutions of the problem $Δu +\fracμ{δ(x)^2}u=…
Reaction-diffusion problems on time-dependent Riemannian manifolds: stability of periodic solutions
Catherine Bandle, Dario Daniele Monticelli, Fabio Punzo
We investigate the stability of time-periodic solutions of semilinear parabolic problems with Neumann boundary conditions. Such problems are posed on compact submanifolds evolving…
Boundary singularities of solutions of semilinear elliptic equations in the half-space with a Hardy potential
Catherine Bandle, Moshe Marcus, Vitaly Moroz
We study a nonlinear equation in the half-space with a Hardy potential, specifically \[-Δu -\fracμ{x_1^2}u+u^p=0\quad\text{in}\quad \mathbb R^n_+,\] where and $-\…
Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues
Catherine Bandle, Alfred Wagner
The paper deals with an eigenvalue problems possessing infinitely many positive and negative eigenvalues. Inequalities for the smallest positive and the largest negative eigenvalue…
A nonlocal diffusion problem on manifolds
Catherine Bandle, Maria del Mar Gonzalez, Marco A. Fontelos +1
In this paper we study a nonlocal diffusion problem on a manifold. These kind of equations can model diffusions when there are long range effects and have been widely studied in Eu…
On the stability of solutions of semilinear elliptic equations with Robin boundary conditions on Riemannian manifolds
Catherine Bandle, Paolo Mastrolia, Dario D. Monticelli +1
We investigate existence and nonexistence of stationary stable nonconstant solutions, i.e. patterns, of semilinear parabolic problems in bounded domains of Riemannian manifolds sat…
Sublinear elliptic problems with a Hardy potential
Catherine Bandle, Maria Assunta Pozio
In this paper we study the positive solutions of sub linear elliptic equations with a Hardy potential which is singular at the boundary. By means of ODE techniques a fairly complet…
Domain perturbations for elliptic problems with Robin boundary conditions of opposite sign
Catherine Bandle, Alfred Wagner
We consider the energy of the torsion problem with Robin boundary conditions in the case where the solution is not a minimizer. Its dependence on the volume of the domain and the s…
Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions
Catherine Bandle, Alfred Wagner
An inequality for the reverse Bossel-Daners inequality is derived by means of the harmonic transplantation and the first shape derivative. This method is then applied to elliptic b…
Second variation of domain functionals and applications to problems with Robin boundary conditions
Catherine Bandle, Alfred Wagner
In this paper the first and second domain variation for functionals related to elliptic boundary and eigenvalue problems with Robin boundary conditions is computed. Minimality and…
Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity
Catherine Bandle, Vitaly Moroz, Wolfgang Reichel
On a bounded smooth domain we study solutions of a semilinear elliptic equation with an exponential nonlinearity and a Hardy potential depending on the distance to the boundary of…
"Boundary blowup" type sub-solutions to semilinear elliptic equations with Hardy potential
Catherine Bandle, Vitaly Moroz, Wolfgang Reichel
Semilinear elliptic equations which give rise to solutions blowing up at the boundary are perturbed by a Hardy potential. The size of this potential effects the existence of a cert…