Results 31 to 40 of about 1,368 (124)
Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket
, 2012 Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the existence of a sequence of weak solutions for an eigenvalue Dirichlet problem on the Sierpinski gasket is proved.
G. Bonanno +2 more
semanticscholar +1 more source
Open Mathematics, 2021 In this paper, we study the following generalized Kadomtsev-Petviashvili equation ut+uxxx+(h(u))x=Dx−1Δyu,{u}_{t}+{u}_{xxx}+{\left(h\left(u))}_{x}={D}_{x}^{-1}{\Delta }_{y}u, where (t,x,y)∈R+×R×RN−1\left(t,x,y)\in {{\mathbb{R}}}^{+}\times {\mathbb{R ...
Zhu Yuting +3 more
doaj +1 more source
On quasilinear elliptic problems with finite or infinite potential wells
Open Mathematics, 2021 We consider quasilinear elliptic problems of the form −div(ϕ(∣∇u∣)∇u)+V(x)ϕ(∣u∣)u=f(u),u∈W1,Φ(RN),-{\rm{div}}\hspace{0.33em}(\phi \left(| \nabla u| )\nabla u)+V\left(x)\phi \left(| u| )u=f\left(u),\hspace{1.0em}u\in {W}^{1,\Phi }\left({{\mathbb{R}}}^{N}),
Liu Shibo
doaj +1 more source
On some nonlinear Schrödinger equations in $\bbr^N$ [PDF]
arXiv, 2021 In this paper, we introduce some new ideas to study Schrodinger equations in RN with power-type nonlinearities.
arxiv
Sign‐changing and multiple solutions for the p‐Laplacian
Abstract and Applied Analysis, Volume 7, Issue 12, Page 613-625, 2002., 2002 We obtain a positive solution, a negative solution, and a sign‐changing solution for a class of p‐Laplacian problems with jumping nonlinearities using variational and super‐subsolution methods.
Siegfried Carl, Kanishka Perera
wiley +1 more source
Sign-changing multi-bump solutions for the Chern-Simons-Schrödinger equations in ℝ2
Advances in Nonlinear Analysis, 2019 In this paper we consider the nonlinear Chern-Simons-Schrödinger equations with general ...
Chen Zhi, Tang Xianhua, Zhang Jian
doaj +1 more source
, 2013 We establish the existence of positive solution for the following class of degenerate quasilinear elliptic problem (P){−Luap+V(x)|x|−ap∗|u|p−2u=f(u)in RN,u>0in RN;u∈Da1,p(RN), where −Luap=−div(|x|−ap|∇u|p−2∇u ...
W. D. Bastos, O. Miyagaki, R. S. Vieira
semanticscholar +1 more source
Domain perturbation method and local minimizers to Ginzburg‐Landau functional with magnetic effect
Abstract and Applied Analysis, Volume 5, Issue 2, Page 101-112, 2000., 2000 We prove the existence of vortex local minimizers to Ginzburg‐Landau functional with a global magnetic effect. A domain perturbating method is developed, which allows us to extend a local minimizer on a nonsimply connected superconducting material to the local minimizer with vortex on a simply connected material.
Shuichi Jimbo, Jian Zhai
wiley +1 more source
Multiple solutions for nonlinear discontinuous strongly resonant elliptic problems
Abstract and Applied Analysis, Volume 5, Issue 2, Page 119-135, 2000., 2000 We consider quasilinear strongly resonant problems with discontinuous right‐hand side. To develop an existence theory we pass to a multivalued problem by, roughly speaking, filling in the gaps at the discontinuity points. We prove the existence of at least three nontrivial solutions.
Nikolaos C. Kourogenis +1 more
wiley +1 more source
Moroccan Journal of Pure and Applied Analysis, 2019 We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).
Haji Badr El +2 more
doaj +1 more source