A priori bounds for solutions to (nonlinear) elliptic Neumann problems in open subsets Ω of IRn are established via inequalities relating the Lebesgue measure of subsets of Ω to their relative capacity. Both norm and capacitary estimates for solutions, and norm estimates for their gradients are derived which improve classical results even in the case of the Laplace equation.
We study compactness properties for solutions of a semilinear elliptic equation with critical nonlin...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
We establish existence results and energy estimates of solutions for a homogeneous Neumann problem i...
AbstractA priori bounds for solutions to (nonlinear) elliptic Neumann problems in open subsets Ω of ...
Abstract. A priori estimates for solutions to homogeneous Neumann problems for uniformly elliptic eq...
Non-linear elliptic Neumann problems, possibly in irregular domains and with data affected by low in...
estimates for some semilinear elliptic problem with critical nonlinearity ∗ Pierpaolo Esposito† We s...
summary:The solution of the weak Neumann problem for the Laplace equation with a distribution as a b...
In this paper we prove a sharp lower bound for the first non-trivial Neumann eigenvalue μ1(Ω) for th...
In this paper lower bounds are established for certain eigenvalues. These inequalities lead to expli...
Let be an open connected subset of R^n of finite measure for which the Poincare'-Wirtinger inequal...
A hemivariational inequality involving p-Laplacian is studied under the hypothesis that the nonlinea...
Given a non-linear elliptic equation of monotone type in a bounded open set Ω ⊂ Rn, we prove that th...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
summary:For fairly general open sets it is shown that we can express a solution of the Neumann probl...
We study compactness properties for solutions of a semilinear elliptic equation with critical nonlin...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
We establish existence results and energy estimates of solutions for a homogeneous Neumann problem i...
AbstractA priori bounds for solutions to (nonlinear) elliptic Neumann problems in open subsets Ω of ...
Abstract. A priori estimates for solutions to homogeneous Neumann problems for uniformly elliptic eq...
Non-linear elliptic Neumann problems, possibly in irregular domains and with data affected by low in...
estimates for some semilinear elliptic problem with critical nonlinearity ∗ Pierpaolo Esposito† We s...
summary:The solution of the weak Neumann problem for the Laplace equation with a distribution as a b...
In this paper we prove a sharp lower bound for the first non-trivial Neumann eigenvalue μ1(Ω) for th...
In this paper lower bounds are established for certain eigenvalues. These inequalities lead to expli...
Let be an open connected subset of R^n of finite measure for which the Poincare'-Wirtinger inequal...
A hemivariational inequality involving p-Laplacian is studied under the hypothesis that the nonlinea...
Given a non-linear elliptic equation of monotone type in a bounded open set Ω ⊂ Rn, we prove that th...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
summary:For fairly general open sets it is shown that we can express a solution of the Neumann probl...
We study compactness properties for solutions of a semilinear elliptic equation with critical nonlin...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
We establish existence results and energy estimates of solutions for a homogeneous Neumann problem i...