Add to ORKGWe consider the linear eigenvalue problem -Delta u = lambda V(x)u, u is an element of D-0(1,2)(Omega), and its nonlinear generalization -Delta(p)u = lambda V(x)u(p-2)u, u is an element of D-0(1,p)(Omega). The set Omega need not be bounded, in particular, Omega = R-N is admitted. The weight function V may change sign and may have singular points. We show that there exists a sequence df eigenvalues lambda(n) --> infinity
Let Omega subset of or equal to R-N be any open set. We study the nonlinear eigenvalue problem - Del...
A variational sign-indefinite eigenvalue problem in an infinite-dimensional Hilbert space is approxi...
Let Ω ⊂ R n be a smooth bounded domain and m∈ C(Ω ¯) be a sign-changing weight function. For 1 < p< ...
We consider the linear eigenvalue problem -Δu = λV(x)u, $u ∈ D^{1,2}_0(Ω)$, and its nonlinear genera...
summary:We consider the nonlinear eigenvalue problem $$ -\operatorname{div}(|{\nabla} u|^{p-2}{\nabl...
In this paper we study the Sobolev trace embedding W1,p([omega]) --&amp;gt;LpV ([delta omega]), ...
In this paper we study the Sobolev trace embedding W 1,p(Ω) ↪→ LpV (∂Ω), where V is an indefinite we...
In this paper we study the Sobolev trace embedding W 1,p(Ω) ↪→ LpV (∂Ω), where V is an indefinite we...
AbstractRecent results on linear elliptic eigenvalue problems with respect to indefinite weight func...
We consider a class of boundary value problems for Sturm–Liouville operators with indefinite weight ...
summary:The nonlinear eigenvalue problem for p-Laplacian $$ \cases - \operatorname{div} (a(x) |\nabl...
Abstract. We consider the eigenvalue problem −∆pu = λV (x)|u|p−2u, u ∈ W 1,p0 (Ω) where p> 1, ∆p ...
In this work we study the homogenisation problem for nonlinear elliptic equations involving p-Laplac...
In this work we study the existence of solutions for the nonlinear eigenvalue problem with p-biharm...
AbstractWe consider a class of boundary value problems for Sturm–Liouville operators with indefinite...
Let Omega subset of or equal to R-N be any open set. We study the nonlinear eigenvalue problem - Del...
A variational sign-indefinite eigenvalue problem in an infinite-dimensional Hilbert space is approxi...
Let Ω ⊂ R n be a smooth bounded domain and m∈ C(Ω ¯) be a sign-changing weight function. For 1 < p< ...
We consider the linear eigenvalue problem -Δu = λV(x)u, $u ∈ D^{1,2}_0(Ω)$, and its nonlinear genera...
summary:We consider the nonlinear eigenvalue problem $$ -\operatorname{div}(|{\nabla} u|^{p-2}{\nabl...
In this paper we study the Sobolev trace embedding W1,p([omega]) --&amp;gt;LpV ([delta omega]), ...
In this paper we study the Sobolev trace embedding W 1,p(Ω) ↪→ LpV (∂Ω), where V is an indefinite we...
In this paper we study the Sobolev trace embedding W 1,p(Ω) ↪→ LpV (∂Ω), where V is an indefinite we...
AbstractRecent results on linear elliptic eigenvalue problems with respect to indefinite weight func...
We consider a class of boundary value problems for Sturm–Liouville operators with indefinite weight ...
summary:The nonlinear eigenvalue problem for p-Laplacian $$ \cases - \operatorname{div} (a(x) |\nabl...
Abstract. We consider the eigenvalue problem −∆pu = λV (x)|u|p−2u, u ∈ W 1,p0 (Ω) where p> 1, ∆p ...
In this work we study the homogenisation problem for nonlinear elliptic equations involving p-Laplac...
In this work we study the existence of solutions for the nonlinear eigenvalue problem with p-biharm...
AbstractWe consider a class of boundary value problems for Sturm–Liouville operators with indefinite...
Let Omega subset of or equal to R-N be any open set. We study the nonlinear eigenvalue problem - Del...
A variational sign-indefinite eigenvalue problem in an infinite-dimensional Hilbert space is approxi...
Let Ω ⊂ R n be a smooth bounded domain and m∈ C(Ω ¯) be a sign-changing weight function. For 1 < p< ...