Access the full text.
Sign up today, get DeepDyve free for 14 days.
Yunmei Chen, Stacey Levine, M. Rao (2006)
Variable Exponent, Linear Growth Functionals in Image RestorationSIAM J. Appl. Math., 66
Mohammed Alaoui, T. Nabil, M. Altanji (2014)
On some new non-linear diffusion models for the image filteringApplicable Analysis, 93
J. Rodrigues, Manel Sanchón, J. Urbano (2008)
The obstacle problem for nonlinear elliptic equations with variable growth and L1-dataMonatshefte für Mathematik, 154
J. Gossez, F. Browder (1986)
A strongly nonlinear elliptic problem in Orlicz-Sobolev spaces
A. Benkirane, J. Bennouna (2002)
Partial Differential Equations
A. Benkirane, J. Bennouna (2002)
Existence of Renormalized Solutions for Some Elliptic Problems Involving Derivatives of Nonlinear Terms in Orlicz Spaces
L. Boccardo, T. Gallouët, L. Orsina (1996)
Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure dataAnnales De L Institut Henri Poincare-analyse Non Lineaire, 13
P. Harjulehto, P. Hästö, V. Latvala, O. Toivanen (2013)
Critical variable exponent functionals in image restorationAppl. Math. Lett., 26
A. Napoli (2015)
Existence and regularity results for a class of equations with logarithmic growthNonlinear Analysis-theory Methods & Applications, 125
R. Landes (1981)
On the existence of weak solutions for quasilinear parabolic initial-boundary value problemsProceedings of the Royal Society of Edinburgh: Section A Mathematics, 89
S. Superiore, P. Bénilan, L. Boccardo, T. Gallouët, R. Gariepy, M. Pierre, J. Vázquez, Bénilan (2018)
An L1-theory of existence and uniqueness of solutions of nonlinear elliptic equations
A. Cavalheiro (2008)
Existence of entropy solutions for degenerate quasilinear elliptic equationsComplex Variables and Elliptic Equations, 53
R. Cooke (2011)
Real and Complex Analysis
P. Baroni, Maria Colombo, G. Mingione (2015)
Harnack inequalities for double phase functionalsNonlinear Analysis-theory Methods & Applications, 121
J. Leray, J. Lions (1964)
Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-BrowderBulletin de la Société Mathématique de France, 93
J. Gossez (1974)
Nonlinear elliptic boundary value problems for equations with rapidly (or slowly) increasing coefficientsTransactions of the American Mathematical Society, 190
F. Giannetti, A. Napoli (2013)
Regularity results for a new class of functionals with non-standard growth conditionsJournal of Differential Equations, 254
Maria Colombo, G. Mingione (2015)
Bounded Minimisers of Double Phase Variational IntegralsArchive for Rational Mechanics and Analysis, 218
A. Benkirane, M. Vally (2013)
An existence result for nonlinear elliptic equations in Musielak-Orlicz-Sobolev spacesBulletin of The Belgian Mathematical Society-simon Stevin, 20
M. Bendahmane, P. Wittbold (2009)
Renormalized solutions for nonlinear elliptic equations with variable exponents and L1 dataNonlinear Analysis-theory Methods & Applications, 70
Vicentiu Rădulescu, Dušan Repovš (2015)
Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis
A. Benkirane, M. Ould, Mohamedhen Val (2012)
Some Approximation Properties in Musielak-Orlicz-Sobolev SpacesThai Journal of Mathematics, 10
Manel Sanchón, J. Urbano (2009)
Entropy solutions for the p(x)-Laplace equationTransactions of the American Mathematical Society, 361
Agnieszka Świerczewska-Gwiazda (2013)
Nonlinear parabolic problems in Musielak--Orlicz spacesarXiv: Analysis of PDEs
A. Alvino, L. Boccardo, V. Ferone, L. Orsina, G. Trombetti (2003)
Existence results for nonlinear elliptic equations with degenerate coercivityAnnali di Matematica Pura ed Applicata, 182
M. Avci, A. Pankov (2018)
Multivalued elliptic operators with nonstandard growthAdvances in Nonlinear Analysis, 7
M. Moumni (2013)
Entropy solution for strongly nonlinear elliptic problems with lower order terms and $L^1$-dataAnnals of the University of Craiova - Mathematics and Computer Science Series, 40
P. Bénilan, L. Boccardo, T. Gallouët, R. Gariepy, M. Pierre, J.L. Vasquez (1995)
An L 1 $L^{1}$ -theory of existence and uniqueness of solutions of nonlinear elliptic equationsAnn. Sc. Norm. Super. Pisa (4), 22
R. Giova (2016)
Regularity results for non-autonomous functionals with LlogL growth and Orlicz Sobolev coefficientsNonlinear Differ. Equ. Appl., 23
Vicentiu Rădulescu (2015)
Nonlinear elliptic equations with variable exponent: Old and newNonlinear Analysis-theory Methods & Applications, 121
J. Lions (2017)
Quelques méthodes de résolution de problèmes aux limites non linéaires
M.C. Palmeri (2004)
Entropy subsolutions and supersolutions for nonlinear elliptic equations in L 1 $L^{1} $Ric. Mat., 53
J. Musielak (1983)
Orlicz Spaces and Modular Spaces
In this research we give the existence of solutions to a elliptic problem containing two lower order terms, the first nonlinear term satisfying the growth conditions and without sign conditions and the second is a continuous function on ℝ. Not also that for right hand side, it is assumed that to be merely integrable. This results in formulation of the problem in Musielak-Orlicz-Sobolev spaces.
Acta Applicandae Mathematicae – Springer Journals
Published: Apr 26, 2018
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.