Lebesgue and Sobolev Spaces with Variable Exponents

On variational inequalities with maximal monotone operators and multivalued perturbing terms in Sobolev spaces with variable exponents

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.09.058 ◽

2012 ◽

Vol 388 (2) ◽

pp. 695-715 ◽

Cited By ~ 8

Author(s):

Vy Khoi Le

Keyword(s):

Variational Inequalities ◽

Sobolev Spaces ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Variable Exponents

Existence Results for Nonlinear Elliptic Equations with Leray–Lions Operators in Sobolev Spaces with Variable Exponents

Mathematical Notes ◽

10.1134/s0001434621110201 ◽

2021 ◽

Vol 110 (5-6) ◽

pp. 830-841

Author(s):

M. Mosa Al-Shomrani ◽

M. Ben Mohamed Salah ◽

A. Ghanmi ◽

K. Kefi

Keyword(s):

Sobolev Spaces ◽

Elliptic Equations ◽

Nonlinear Elliptic Equations ◽

Existence Results ◽

Variable Exponents ◽

Nonlinear Elliptic

On density of smooth functions in weighted Sobolev spaces with variable exponents

St Petersburg Mathematical Journal ◽

10.1090/spmj/1396 ◽

2016 ◽

Vol 27 (3) ◽

pp. 415-436 ◽

Cited By ~ 5

Author(s):

V. V. Zhikov ◽

M. D. Surnachev

Keyword(s):

Sobolev Spaces ◽

Weighted Sobolev Spaces ◽

Variable Exponents ◽

Smooth Functions

Sobolev spaces with variable exponents on Riemannian manifolds

Nonlinear Analysis ◽

10.1016/j.na.2013.06.012 ◽

2013 ◽

Vol 92 ◽

pp. 47-59 ◽

Cited By ~ 5

Author(s):

Michał Gaczkowski ◽

Przemysław Górka

Keyword(s):

Sobolev Spaces ◽

Riemannian Manifolds ◽

Variable Exponents

Compact embeddings for Sobolev spaces of two variable exponents

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2021.1965997 ◽

2021 ◽

pp. 1-14

Author(s):

Yoshihiro Mizuta ◽

Takao Ohno ◽

Tetsu Shimomura

Keyword(s):

Sobolev Spaces ◽

Variable Exponents ◽

Compact Embeddings

Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue-Sobolev Spaces with Variable Exponents

Zurnal matematiceskoj fiziki analiza geometrii ◽

10.15407/mag14.01.027 ◽

2018 ◽

Vol 14 (1) ◽

pp. 27-53

Author(s):

B. HAMDAOUI ◽

◽

J. Bennouna ◽

A. ABERQI ◽

◽

...

Keyword(s):

Sobolev Spaces ◽

Parabolic Systems ◽

Variable Exponents ◽

Nonlinear Parabolic Systems ◽

Renormalized Solutions ◽

Nonlinear Parabolic

Lebesgue and Sobolev Spaces with Variable Exponents

Monographs and Research Notes in Mathematics - Partial Differential Equations with Variable Exponents ◽

10.1201/b18601-3 ◽

2015 ◽

pp. 3-21

Keyword(s):

Sobolev Spaces ◽

Variable Exponents

The concentration-compactness principles for Ws,p(·,·)(ℝN) and application

Advances in Nonlinear Analysis ◽

10.1515/anona-2020-0160 ◽

2020 ◽

Vol 10 (1) ◽

pp. 816-848

Author(s):

Ky Ho ◽

Yun-Ho Kim

Keyword(s):

Sobolev Spaces ◽

Concentration Compactness ◽

Variable Exponents ◽

Fractional Sobolev Spaces ◽

Nonlocal Problems

Abstract We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems with variable exponents, which is even new for constant exponent case.

Operator equations and duality mappings in Sobolev spaces with variable exponents

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-013-0797-5 ◽

2013 ◽

Vol 34 (5) ◽

pp. 639-666

Author(s):

Philippe G. Ciarlet ◽

George Dinca ◽

Pavel Matei

Keyword(s):

Sobolev Spaces ◽

Variable Exponents ◽

Operator Equations ◽

Duality Mappings

Embedding operators of Sobolev spaces with variable exponents and applications

Analysis Mathematica ◽

10.1007/s10476-015-0303-2 ◽

2015 ◽

Vol 41 (4) ◽

pp. 273-297 ◽

Cited By ~ 1

Author(s):

Veli B. Shakhmurov

Keyword(s):

Sobolev Spaces ◽

Variable Exponents