Results 41 to 50 of about 459 (79)

Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics [PDF]

, 2013
We consider a semilinear elliptic problem [- \Delta u + u = (I_\alpha \ast \abs{u}^p) \abs{u}^{p - 2} u \quad\text{in (\mathbb{R}^N),}] where (I_\alpha) is a Riesz potential and (p>1).
Moroz, Vitaly, Van Schaftingen, Jean
core   +1 more source

Nonzero positive solutions of a multi-parameter elliptic system with functional BCs

, 2017
We prove, by topological methods, new results on the existence of nonzero positive weak solutions for a class of multi-parameter second order elliptic systems subject to functional boundary conditions. The setting is fairly general and covers the case of
Infante, Gennaro
core   +1 more source

Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions [PDF]

, 2017
For $1p$. We use the shooting method to get existence and multiplicity of non-constant radial solutions. With the same technique, we also detect the oscillatory behavior of the solutions around the constant solution $u\equiv1$.
Boscaggin, Alberto, Colasuonno, Francesca, Noris, Benedetta   +2 more
core   +3 more sources

A quasilinear problem with fast growing gradient

, 2012
In this paper we consider the following Dirichlet problem for the $p$-Laplacian in the positive parameters $\lambda$ and $\beta$: [{{array} [c]{rcll}% -\Delta_{p}u & = & \lambda h(x,u)+\beta f(x,u,\nabla u) & \text{in}\Omega u & = & 0 & \text{on}\partial\
Bueno, Hamilton, Ercole, Grey
core   +1 more source

Limiting profile of positive solutions to heterogeneous elliptic BVPs with nonlinear flux decaying to negative infinity on a portion of the boundary

Open Mathematics
This paper ascertains the limiting profile of the positive solutions of heterogeneous logistic elliptic boundary value problems under nonlinear mixed boundary conditions.
Cano-Casanova Santiago
doaj   +1 more source

On the solutions of a singular elliptic equation concentrating on a circle

Advances in Nonlinear Analysis, 2014
Let A={x∈ℝ2N+2 ...
Manna Bhakti B., Srikanth P. Chakravarthy   +1 more
doaj   +1 more source

Multiple positive solutions for a class of Kirchhoff type equations with indefinite nonlinearities

Advances in Nonlinear Analysis, 2021
We study the following Kirchhoff type equation:
Che Guofeng, Wu Tsung-fang
doaj   +1 more source

Existence and non-degeneracy of the normalized spike solutions to the fractional Schrödinger equations

Advances in Nonlinear Analysis
The present study investigates the existence and non-degeneracy of normalized solutions for the following fractional Schrödinger equation: (−Δ)su+V(x)u=aup+μu,x∈RN,u∈Hs(RN){\left(-\Delta )}^{s}u+V\left(x)u=a{u}^{p}+\mu u,\hspace{1.0em}x\in {{\mathbb{R}}}^
Guo Qing, Zhang Yuhang
doaj   +1 more source

Existence and concentration of ground-states for fractional Choquard equation with indefinite potential

Advances in Nonlinear Analysis, 2022
This paper is concerned with existence and concentration properties of ground-state solutions to the following fractional Choquard equation with indefinite potential: (−Δ)su+V(x)u=∫RNA(εy)∣u(y)∣p∣x−y∣μdyA(εx)∣u(x)∣p−2u(x),x∈RN,{\left(-\Delta )}^{s}u+V ...
Zhang Wen, Yuan Shuai, Wen Lixi
doaj   +1 more source

A class of semipositone p-Laplacian problems with a critical growth reaction term

Advances in Nonlinear Analysis, 2019
We prove the existence of ground state positive solutions for a class of semipositone p-Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform C1,α a priori estimates and by concentration ...
Perera Kanishka, Shivaji Ratnasingham, Sim Inbo   +2 more
doaj   +1 more source