Results 31 to 40 of about 24,259 (189)
Nonlocal Kirchhoff superlinear equations with indefinite nonlinearity and lack of compactness
, 2019 We study the following Kirchhoff equation $$- \left(1 + b \int_{\mathbb{R}^3} |\nabla u|^2 dx \right) \Delta u + V(x) u = f(x,u), \ x \in \mathbb{R}^3.$$ A special feature of this paper is that the nonlinearity $f$ and the potential $V$ are indefinite ...
Li, Lin +2 more
core +2 more sources
Existence of Weak Solutions of P-Laplacian Problem [PDF]
, 2015 This project deals with the variational and the Nehari manifold method ,or by the Nehari hypothesis for the p-Laplacian equations in a bounded domain or in the whole space.Then a proof of the existence of the weak solutions of the given p-Laplacian ...
Patra, Asim
core +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper we show existence and multiplicity of positive solutions using the sub-supersolution method and Mountain Pass Theorem in a general singular system which the operator is not homogeneous neither linear.
Suellen Arruda, Rubia Nascimento
doaj +1 more source
Nonlinear problems on the Sierpi\'nski gasket
, 2017 This paper concerns with a class of elliptic equations on fractal domains depending on a real parameter. Our approach is based on variational methods.
Ambrosetti +31 more
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley +1 more source
On a Class of Schrödinger System Problem in Orlicz–Sobolev Spaces
Journal of Function Spaces, 2022 Using the mountain pass theorem, we obtain the existence of a nontrivial and nonnegative weak solution of a quasi-linear Schrödinger system driven by the ω⋅-Laplacian operator in Orlicz–Sobolev spaces.
H. El-Houari, L. S. Chadli, H. Moussa
doaj +1 more source
Naval Research Logistics (NRL), EarlyView.ABSTRACT We are concerned with the stability of a transferable‐utility cooperative (TU) game. First, the concept of core can be weakened so that the blocking of changes is limited to only those with multilateral backings. This principle of consensual blocking, as well as the traditional core‐defining one of unilateral blocking and one straddling in ...
Jian Yang
wiley +1 more source
Using Local Expert Knowledge to Measure Prices: Evidence From a Survey Experiment in Vietnam
Review of Development Economics, EarlyView.ABSTRACT Many countries lack spatially disaggregated consumer price data needed to estimate real inequality and spatial patterns of poverty. Such data are especially absent in poor countries where weak infrastructure and high transport costs create large price variation over space.
John Gibson, Trinh Le
wiley +1 more source
The mountain pass theorem in terms of tangencies
, 2021 This paper addresses the Mountain Pass Theorem for locally Lipschitz functions on finite-dimensional vector spaces in terms of tangencies. Namely, let $f \colon \mathbb R^n \to \mathbb R$ be a locally Lipschitz function with a mountain pass geometry.
Dinh, Si Tiep, Pham, Tien Son
openaire +2 more sources
Existence of solutions for a class of quasilinear degenerate $p(x)$-Laplace equations
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We study the existence of weak solutions for a degenerate $p(x)$-Laplace equation. The main tool used is the variational method, more precisely, the Mountain Pass Theorem.
Qing-Mei Zhou, Jian-Fang Wu
doaj +1 more source