Add to ORKGThe objective of our note is to prove that, at least for a convex domain, the ground state of the p-Laplacian operator ?pu = div (|Ñu|p-2 Ñu) is a superharmonic function, provided that 2 = p = 8. The ground state of ?p is the positive solution with boundary values zero of the equation div(|Ñu|p-2 Ñu) + ? |u|p-2 u = 0 in the bounded domain O in the n-dimensional Euclidean space
Abstract. In this article we study solutions and supersolutions of a vari-able exponent p()-Laplace ...
We derive a priori bounds for positive supersolutions of $-\Delta_p u = \rho(x) f(u)$, where p >1 ...
We study the spectral structure of the complex linearized operator for a class of nonlinear Schrodin...
We consider superlinear p-Laplacian equations in RN with a potential which is periodic or has a boun...
AbstractWe consider superlinear p-Laplacian equations in RN with a potential which is periodic or ha...
AbstractUsing a new gradient estimate, we prove several theorems on the existence of radial ground s...
none1noWe consider radial solution $u(|x|)$, $x in RR^n$, of a $p$-Laplace equation with non-linea...
none1noWe consider the following equation $$Delta_p u( extbf{x})+ f(u,| extbf{x}|)=0,$$ where $ e...
We study nonlinear ground states of the Gross–Pitaevskii equation in the space of one, two and three...
In this article we study the p-biharmonic equation $$ \Delta_p^2u+V(x)|u|^{p-2}u=f(x,u),\quad x\in...
Abstract. The integrability of positive superharmonic functions on a bounded fat John domain is esta...
We consider the Cauchy-problem for the parabolic equation $$ u_t = \Delta u+ f(u,|x|), $$ where ...
none2noWe study the structure of the family of radially symmetric ground states and singular groun...
We investigate the existence of ground state solutions to the Dirichlet problem -div(|x|α∇u) = |u|2...
ABSTRACT. We investigate the boundary growth of positive superharmonic functions u on a bounded doma...
Abstract. In this article we study solutions and supersolutions of a vari-able exponent p()-Laplace ...
We derive a priori bounds for positive supersolutions of $-\Delta_p u = \rho(x) f(u)$, where p >1 ...
We study the spectral structure of the complex linearized operator for a class of nonlinear Schrodin...
We consider superlinear p-Laplacian equations in RN with a potential which is periodic or has a boun...
AbstractWe consider superlinear p-Laplacian equations in RN with a potential which is periodic or ha...
AbstractUsing a new gradient estimate, we prove several theorems on the existence of radial ground s...
none1noWe consider radial solution $u(|x|)$, $x in RR^n$, of a $p$-Laplace equation with non-linea...
none1noWe consider the following equation $$Delta_p u( extbf{x})+ f(u,| extbf{x}|)=0,$$ where $ e...
We study nonlinear ground states of the Gross–Pitaevskii equation in the space of one, two and three...
In this article we study the p-biharmonic equation $$ \Delta_p^2u+V(x)|u|^{p-2}u=f(x,u),\quad x\in...
Abstract. The integrability of positive superharmonic functions on a bounded fat John domain is esta...
We consider the Cauchy-problem for the parabolic equation $$ u_t = \Delta u+ f(u,|x|), $$ where ...
none2noWe study the structure of the family of radially symmetric ground states and singular groun...
We investigate the existence of ground state solutions to the Dirichlet problem -div(|x|α∇u) = |u|2...
ABSTRACT. We investigate the boundary growth of positive superharmonic functions u on a bounded doma...
Abstract. In this article we study solutions and supersolutions of a vari-able exponent p()-Laplace ...
We derive a priori bounds for positive supersolutions of $-\Delta_p u = \rho(x) f(u)$, where p >1 ...
We study the spectral structure of the complex linearized operator for a class of nonlinear Schrodin...