Results 31 to 40 of about 66 (53)

Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem.
Wiśniewski Damian
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Multiplicity of Positive Solutions for a Quasilinear Schrödinger Equation with an Almost Critical Nonlinearity

Advanced Nonlinear Studies, 2020
In this paper we prove an existence result of multiple positive solutions for the following quasilinear problem:
Figueiredo Giovany M., Severo Uberlandio B., Siciliano Gaetano   +2 more
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Existence of solutions for a class of quasilinear Schrödinger equations with Choquard-type nonlinearity

Advances in Nonlinear Analysis
For the following quasilinear Choquard-type equation: −Δu−Δ(u2)u+V(x)u=(Iμ*∣u∣p)∣u∣p−2u,x∈RN,-\Delta u-\Delta \left({u}^{2})u+V\left(x)u=\left({I}_{\mu }* {| u| }^{p}){| u| }^{p-2}u,\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N≥3 ...
Shen Zifei, Yang Ning
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Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity

Advances in Nonlinear Analysis, 2020
We are concerned with the following quasilinear elliptic ...
Fang Xiangdong, Zhang Jianjun
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Existence of three solutions for two quasilinear Laplacian systems on graphs

Demonstratio Mathematica
We deal with the existence of three distinct solutions for a poly-Laplacian system with a parameter on finite graphs and a (p,q)\left(p,q)-Laplacian system with a parameter on locally finite graphs. The main tool is an abstract critical point theorem in [
Pang Yan, Zhang Xingyong
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Existence of a bound state solution for quasilinear Schrödinger equations

Advances in Nonlinear Analysis, 2017
In this article, we establish the existence of bound state solutions for a class of quasilinear Schrödinger equations whose nonlinear term is asymptotically linear in ℝN{\mathbb{R}^{N}}.
Xue Yan-Fang, Tang Chun-Lei
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Two solutions for Dirichlet double phase problems with variable exponents

Advanced Nonlinear Studies
This paper is devoted to the study of a double phase problem with variable exponents and Dirichlet boundary condition. Based on an abstract critical point theorem, we establish existence results under very general assumptions on the nonlinear term, such ...
Amoroso Eleonora, Bonanno Gabriele, D’Aguì Giuseppina, Winkert Patrick   +3 more
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Comparison and maximum principles for a class of flux-limited diffusions with external force fields

Advances in Nonlinear Analysis, 2016
In this paper, we are interested in a general equation that has finite speed of propagation compatible with Einstein's theory of special relativity. This equation without external force fields has been derived recently by means of optimal transportation ...
Duong Manh Hong
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Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation

Open Mathematics, 2020
This paper focuses on the existence and the multiplicity of classical radially symmetric solutions of the mean curvature problem:−div∇v1+|∇v|2=f(x,v,∇v)inΩ,a0v+a1∂v∂ν=0on∂Ω,\left\{\begin{array}{ll}-\text{div}\left(\frac{\nabla v}{\sqrt{1+|\nabla v{|}^{2}}
Obersnel Franco, Omari Pierpaolo
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Generalized quasi-linear fractional Wentzell problems

Advances in Nonlinear Analysis
Given a bounded (ε,δ)\left(\varepsilon ,\delta )-domain Ω⊆RN\Omega \subseteq {{\mathbb{R}}}^{N} (N≥2N\ge 2) whose boundary Γ≔∂Ω\Gamma := \partial \Omega is a dd-set for d∈(N−p,N)d\in \left(N-p,N), we investigate a generalized quasi-linear elliptic ...
Mesino-Espinosa Efren, Vélez-Santiago Alejandro   +1 more
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