Results 61 to 70 of about 1,698 (113)

Semi-classical solutions of perturbed elliptic system with general superlinear nonlinearity

, 2014
This paper is concerned with the following perturbed elliptic system: −ε2△u+V(x)u=Wv(x,u,v), x∈RN, −ε2△v+V(x)v=Wu(x,u,v), x∈RN, u,v∈H1(RN), where V∈C(RN,R) and W∈C1(RN×R2,R).
F. Liao, Xianhua Tang, Jian Zhang, Dongdong Qin   +3 more
semanticscholar   +1 more source

Elliptic equations with one-sided critical growth

Electronic Journal of Differential Equations, 2002
We consider elliptic equations in bounded domains $Omegasubset mathbb{R}^N $ with nonlinearities which have critical growth at $+infty$ and linear growth $lambda$ at $-infty$, with $lambda > lambda_1$, the first eigenvalue of the Laplacian. We prove that
Marta Calanchi, Bernhard Ruf
doaj  

Multiple solutions for a nonhomogeneous Schr\"odinger-Maxwell system in $R^3$

, 2014
The paper considers the following nonhomogeneous Schr\"odinger-Maxwell system -\Delta u + u+\lambda\phi (x) u =|u|^{p-1}u+g(x),\ x\in \mathbb{R}^3, -\Delta\phi = u^2, \ x\in \mathbb{R}^3, .
Ambrosetti, Ambrosetti, Azzollini, Azzollini, Benci, Benci, Berestycki, Chen, Coclite, D’Aprile, d’Avenia, Huan-Song Zhou, Jeanjean, Jeanjean, Kikuchi, Kikuchi, Ruiz, Salvatore, Struwe, Yang, Yongsheng Jiang, Zhengping Wang, Zhu   +22 more
core   +1 more source

One‐sided resonance for quasilinear problems with asymmetric nonlinearities

, 2002
Abstract and Applied Analysis, Volume 7, Issue 1, Page 53-60, 2002.
Kanishka Perera
wiley   +1 more source

A Fibering Map Approach for a Laplacian System With Sign-Changing Weight Function [PDF]

, 2014
We prove the existence of at least two positive solutions for the Laplacian system(E?)On a bounded region by using the Nehari manifold and the fibering maps associated with the Euler functional for the ...
Kazemipoor, Seyyed Sadegh, Zakeri, Mahboobeh   +1 more
core  

Combining the DPG method with finite elements

, 2017
We propose and analyze a discretization scheme that combines the discontinuous Petrov-Galerkin and finite element methods. The underlying model problem is of general diffusion-advection-reaction type on bounded domains, with decomposition into two sub ...
Führer, Thomas, Heuer, Norbert, Karkulik, Michael, Rodríguez, Rodolfo   +3 more
core   +1 more source

Regularity of minimizers for double phase functionals of borderline case with variable exponents

Advances in Nonlinear Analysis
The aim of this article is to study regularity properties of a local minimizer of a double phase functional of type ℱ(u)≔∫Ω(∣Du∣p(x)+a(x)∣Du∣p(x)log(e+∣Du∣))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }({| Du| }^{p\left(x)}+a ...
Ragusa Maria Alessandra, Tachikawa Atsushi   +1 more
doaj   +1 more source

Ground state solutions for Kirchhoff-type equations with a general nonlinearity in the critical growth

Advances in Nonlinear Analysis, 2018
In this paper, we concern ourselves with the following Kirchhoff-type equations:
Xu Li-Ping, Chen Haibo
doaj   +1 more source

Symmetries, Hopf fibrations and supercritical elliptic problems

, 2015
We consider the semilinear elliptic boundary value problem \[ -\Delta u=\left\vert u\right\vert ^{p-2}u\text{ in }\Omega,\text{\quad }u=0\text{ on }\partial\Omega, \] in a bounded smooth domain $\Omega$ of $\mathbb{R}^{N}$ for supercritical exponents $p>\
Clapp, Mónica, Pistoia, Angela
core   +1 more source

Multiple solutions for a Kirchhoff-type equation with general nonlinearity

Advances in Nonlinear Analysis, 2018
This paper is devoted to the study of the following autonomous Kirchhoff-type equation:
Lu Sheng-Sen
doaj   +1 more source