Results 11 to 20 of about 413 (75)
A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems
Advances in Nonlinear Analysis, 2020 In this paper we deal with the elliptic ...
López-Martínez Salvador
doaj +1 more source
Bifurcation analysis for a modified quasilinear equation with negative exponent
Advances in Nonlinear Analysis, 2021 In this paper, we consider the following modified quasilinear problem:
Chen Siyu +3 more
doaj +1 more source
Quasilinear equations with indefinite nonlinearity
Advances in Nonlinear Analysis, 2018 In this paper, we are concerned with quasilinear equations with indefinite nonlinearity and explore the existence of infinitely many solutions.
Zhao Junfang +2 more
doaj +1 more source
Measure Data Problems for a Class of Elliptic Equations with Mixed Absorption-Reaction
Advanced Nonlinear Studies, 2021 In the present paper, we study the existence of nonnegative solutions to the Dirichlet problem ℒp,qMu:=-Δu+up-M|∇u|q=μ{{\mathcal{L}}^{{M}}_{p,q}u:=-\Delta u+u^{p}-M|\nabla u|^{q}=\mu} in a domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} where μ is a ...
Bidaut-Véron Marie-Françoise +2 more
doaj +1 more source
Advances in Nonlinear Analysis, 2022 In this article, we study the existence of multiple solutions to a generalized p(⋅)p\left(\cdot )-Laplace equation with two parameters involving critical growth.
Ho Ky, Sim Inbo
doaj +1 more source
N-Laplacian critical problem with discontinuous nonlinearities
Advances in Nonlinear Analysis, 2015 In this paper, we study the existence of a solution of the N-Laplacian critical problem with discontinuous nonlinearity of Heaviside type in a smooth bounded domain with respect to a positive parameter λ.
Tiwari Sweta
doaj +1 more source
Mountain pass solutions for quasi-linear equations via a monotonicity trick [PDF]
, 2011 We obtain the existence of mountain pass solutions for quasi-linear equations without the typical assumptions which guarantee the boundedness of an arbitrary Palais-Smale sequence. This is done through a recent version of the monotonicity trick proved by
Pellacci, Benedetta, Squassina, Marco
core +2 more sources
Existence of Nontrivial Solutions for p-Laplacian Equations in {R}^{N} [PDF]
, 2010 In this paper, we consider a p-Laplacian equation in {R}^{N}with sign-changing potential and subcritical p-superlinear nonlinearity. By using the cohomological linking method for cones developed by Degiovanni and Lancelotti in 2007, an existence result ...
Liu, Chungen, Zheng, Youquan
core +2 more sources
On nonlinear potential theory, and regular boundary points, for the p-Laplacian in N space variables
Advances in Nonlinear Analysis, 2014 We turn back to some pioneering results concerning, in particular, nonlinear potential theory and non-homogeneous boundary value problems for the so-called p-Laplace operator.
Beirão da Veiga Hugo
doaj +1 more source
A non-smooth Brezis-Oswald uniqueness result
Open Mathematics, 2023 We classify the non-negative critical points in W01,p(Ω){W}_{0}^{1,p}\left(\Omega ) of J(v)=∫ΩH(Dv)−F(x,v)dx,J\left(v)=\mathop{\int }\limits_{\Omega }\hspace{0.15em}H\left(Dv)-F\left(x,v){\rm{d}}x, where HH is convex and positively pp-homogeneous, while ...
Mosconi Sunra
doaj +1 more source