[LIBRO][B] Lebesgue and Sobolev spaces with variable exponents
The field of variable exponent function spaces has witnessed an explosive growth in recent
years. The standard reference article for basic properties is already 20 years old. Thus this …
years. The standard reference article for basic properties is already 20 years old. Thus this …
Overview of differential equations with non-standard growth
P Harjulehto, P Hästö, ÚV Lê, M Nuortio - Nonlinear Analysis: Theory …, 2010 - Elsevier
Differential equations with non-standard growth have been a very active field of investigation
in recent years. In this survey we present an overview of the field, as well as several of the …
in recent years. In this survey we present an overview of the field, as well as several of the …
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces |
Annali di Matematica Pura ed Applicata (1923 -) Skip to main content SpringerLink Account …
Annali di Matematica Pura ed Applicata (1923 -) Skip to main content SpringerLink Account …
[HTML][HTML] Regularity estimates for quasilinear elliptic equations with variable growth involving measure data
We investigate a quasilinear elliptic equation with variable growth in a bounded nonsmooth
domain involving a signed Radon measure. We obtain an optimal global Calderón …
domain involving a signed Radon measure. We obtain an optimal global Calderón …
[PDF][PDF] Elliptic interpolation estimates for non-standard growth operators
We derive a class of potential estimates for elliptic equations with non-standard growth
having a measure on the right-hand side; in particular our results allow to interpolate …
having a measure on the right-hand side; in particular our results allow to interpolate …
[PDF][PDF] Gradient estimates via non standard potentials and continuity
GRADIENT ESTIMATES VIA NON STANDARD POTENTIALS AND CONTINUITY Page 1
Annales Academiæ Scientiarum Fennicæ Mathematica Volumen 35, 2010, 641–678 GRADIENT …
Annales Academiæ Scientiarum Fennicæ Mathematica Volumen 35, 2010, 641–678 GRADIENT …
Wolff potential estimates for elliptic equations with nonstandard growth and applications
We study superharmonic functions related to elliptic equations with structural conditions
involving a variable growth exponent. We establish pointwise estimates for such functions in …
involving a variable growth exponent. We establish pointwise estimates for such functions in …
Solutions for nonlinear elliptic equations with variable growth and degenerate coercivity
X Zhang, Y Fu - Annali di Matematica Pura ed Applicata, 2014 - Springer
Solutions for nonlinear elliptic equations with variable growth and degenerate coercivity Page
1 Annali di Matematica (2014) 193:133–161 DOI 10.1007/s10231-012-0270-1 Solutions for …
1 Annali di Matematica (2014) 193:133–161 DOI 10.1007/s10231-012-0270-1 Solutions for …
[HTML][HTML] Existence and non-existence results for nonlinear elliptic equations with nonstandard growth
X Chai, W Niu - Journal of Mathematical Analysis and Applications, 2014 - Elsevier
We consider the existence and non-existence of solutions for nonlinear elliptic equations
whose model is {− div (|∇ v| p (x)− 2∇ v)+| v| q (x)− 1 v= μ in Ω, v= 0 on∂ Ω, where Ω is a …
whose model is {− div (|∇ v| p (x)− 2∇ v)+| v| q (x)− 1 v= μ in Ω, v= 0 on∂ Ω, where Ω is a …
The Fundamental Convergence Theorem for p(·)-Superharmonic Functions
V Latvala, T Lukkari, O Toivanen - Potential Analysis, 2011 - Springer
We study the balayage related to the supersolutions of the variable exponent p (·)-Laplace
equation. We prove the fundamental convergence theorem for the balayage and apply it for …
equation. We prove the fundamental convergence theorem for the balayage and apply it for …