Results 21 to 30 of about 427 (68)

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
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Existence and multiplicity of solutions for a quasilinear system with locally superlinear condition

Advances in Nonlinear Analysis, 2023
We investigate the existence and multiplicity of weak solutions for a nonlinear Kirchhoff type quasilinear elliptic system on the whole space RN{{\mathbb{R}}}^{N}. We assume that the nonlinear term satisfies the locally super-(m1,m2)\left({m}_{1},{m}_{2})
Liu Cuiling, Zhang Xingyong
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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, Liu Xiangqing, Feng Zhaosheng   +2 more
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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,qM⁢u:=-Δ⁢u+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, Garcia-Huidobro Marta, Véron Laurent   +2 more
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On the symmetry of minimizers in constrained quasi-linear problems [PDF]

, 2010
We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems.Comment: 18 ...
Squassina, Marco
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Isolated singularities of the prescribed mean curvature equation in Minkowski $3$-space [PDF]

, 2017
We give a classification of non-removable isolated singularities for real analytic solutions of the prescribed mean curvature equation in Minkowski $3 ...
Gálvez, José A., Jiménez, Asun, Mira, Pablo   +2 more
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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
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Asymptotic and optimal Liouville properties for Wolff type integral systems [PDF]

, 2016
This article examines the properties of positive solutions to fully nonlinear systems of integral equations involving Hardy and Wolff potentials. The first part of the paper establishes an optimal existence result and a Liouville type theorem for the ...
Caffarelli, Caffarelli, Caristi, Chen, Chen, Chen, Chen, Chen, Cheng, Dou, Dávila, D’Ambrosio, Gidas, Gidas, Hénon, John Villavert, Kilpeläinen, Lei, Lei, Lei, Lei, Li, Lieb, Lu, Mitidieri, Mitidieri, Phan, Phuc, Poláčik, Serrin, Souplet, Sun, Villavert, Villavert, Villavert, Villavert, Yang   +36 more
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On sufficient “local” conditions for existence results to generalized p(.)-Laplace equations involving critical growth

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
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Comparison results for nonlinear divergence structure elliptic PDE’s

Advances in Nonlinear Analysis, 2019
First we prove a comparison result for a nonlinear divergence structure elliptic partial differential equation. Next we find an estimate of the solution of a boundary value problem in a domain Ω in terms of the solution of a related symmetric boundary ...
Liu Yichen, Marras Monica, Porru Giovanni   +2 more
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