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Author ID: carl.siegfried Recent zbMATH articles by "Carl, Siegfried"
Published as: Carl, Siegfried; Carl, S.
Homepage: https://www2.mathematik.uni-halle.de/carl/
External Links: MGP · dblp
all top 5

Serials

17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Journal of Mathematical Analysis and Applications
9 Applicable Analysis
9 Journal of Differential Equations
9 Nonlinear Analysis. Theory, Methods & Applications
8 Differential and Integral Equations
5 Journal of Inequalities and Applications
4 Mathematische Nachrichten
4 Dynamic Systems and Applications
4 Nonlinear Studies
4 Advanced Nonlinear Studies
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Journal of Optimization Theory and Applications
3 Monatshefte für Mathematik
3 Communications on Applied Nonlinear Analysis
3 Nonlinear Analysis. Real World Applications
3 Pure and Applied Functional Analysis
2 Calculus of Variations and Partial Differential Equations
2 Electronic Journal of Differential Equations (EJDE)
2 Nonlinear World
2 Dynamics of Continuous, Discrete and Impulsive Systems
2 Abstract and Applied Analysis
2 Complex Variables and Elliptic Equations
2 Springer Monographs in Mathematics
1 Computers & Mathematics with Applications
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annales Polonici Mathematici
1 Applied Mathematics and Computation
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 Zeitschrift für Analysis und ihre Anwendungen
1 Complex Variables. Theory and Application
1 Optimization
1 Mathematical and Computer Modelling
1 Journal of Global Optimization
1 Studia Universitatis Babeș-Bolyai. Mathematica
1 Wissenschaftliche Zeitschrift der Technischen Hochschule Carl Schorlemmer Leuna-Merseburg
1 Set-Valued Analysis
1 Nonlinear Times and Digest
1 Advances in Differential Equations
1 Discrete and Continuous Dynamical Systems
1 International Journal of Applied Mathematics
1 Nonlinear Functional Analysis and Applications
1 Boundary Value Problems
1 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Calculus of Variations
1 Pacific Journal of Applied Mathematics
1 International Journal of Differential Equations

Publications by Year

Citations contained in zbMATH Open

135 Publications have been cited 1,277 times in 706 Documents Cited by Year
Nonsmooth variational problems and their inequalities. Comparison principles and applications. Zbl 1109.35004
Carl, Siegfried; Le, Vy Khoi; Motreanu, Dumitru
268
2007
Nonlinear differential equations in ordered spaces. Zbl 0948.34001
Carl, S.; Heikkilä, S.
81
2000
Fixed point theory in ordered sets and applications. From differential and integral equations to game theory. Zbl 1209.47001
Carl, Siegfried; Heikkilä, Seppo
64
2011
Extremal solutions of quasilinear parabolic inclusions with generalized Clarke’s gradient. Zbl 1042.35092
Carl, S.; Motreanu, D.
47
2003
Sign-changing and multiple solutions for the \(p\)-Laplacian. Zbl 1106.35308
Carl, Siegfried; Perera, Kanishka
37
2002
Existence of extremal solutions of boundary hemivariational inequalities. Zbl 1180.35255
Carl, S.
28
2001
Constant-sign and sign-changing solutions for nonlinear eigenvalue problems. Zbl 1138.35075
Carl, Siegfried; Motreanu, Dumitru
25
2008
Existence and comparison principles for general quasilinear variational-hemivariational inequalities. Zbl 1061.49007
Carl, S.; Le, Vy K.; Motreanu, D.
23
2005
Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions. Zbl 1010.65041
Carl, S.; Lakshmikantham, V.
21
2002
The weak upper and lower solution method for quasilinear elliptic equations with generalized subdifferentiable perturbations. Zbl 0832.35039
Carl, S.; Dietrich, H.
21
1995
Extremal solutions for nonvariational quasilinear elliptic systems via expanding trapping regions. Zbl 1368.35147
Carl, Siegfried; Motreanu, Dumitru
21
2017
General comparison principle for quasilinear elliptic inclusions. Zbl 1152.35306
Carl, Siegfried; Motreanu, Dumitru
19
2009
Elliptic problems with lack of compactness via a new fixed point theorem. Zbl 1508.35010
Carl, S.; Heikkilä, S.
18
2002
Evolutionary variational-hemivariational inequalities: Existence and comparison results. Zbl 1282.49006
Carl, Siegfried; Le, Vy K.; Motreanu, Dumitru
16
2008
On extremal solutions of an elliptic boundary value problem involving discontinuous nonlinearities. Zbl 0785.35034
Carl, Siegfried; Heikkilä, Seppo
15
1992
The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities. Zbl 1164.35301
Carl, S.; Le, Vy K.; Motreanu, D.
14
2004
Elliptic inequalities with multi-valued operators: existence, comparison and related variational-hemivariational type inequalities. Zbl 1319.35059
Carl, Siegfried; Le, Vy Khoi
14
2015
On a parabolic boundary value problem with discontinuous nonlinearity. Zbl 0726.35064
Carl, Siegfried; Heikkilä, Seppo
13
1990
Existence and comparison results for noncoercive and nonmonotone multivalued elliptic problems. Zbl 1233.35090
Carl, S.
13
2006
Elliptic equations with discontinuous nonlinearities in \(\mathbb{R}^N\). Zbl 0908.35038
Carl, S.; Heikkilä, S.
12
1998
Multi-valued variational inequalities and inclusions. Zbl 1462.49001
Carl, Siegfried; Le, Vy Khoi
12
2021
An existence result for elliptic differential inclusions with discontinuous nonlinearity. Zbl 0755.35039
Carl, Siegfried; Heikkilä, Seppo
12
1992
On the existence of extremal weak solutions for a class of quasilinear parabolic problems. Zbl 0805.35057
Carl, Siegfried
11
1993
Enclosure of solutions for quasilinear dynamic hemivariational inequalities. Zbl 0902.35065
Carl, Siegfried
11
1996
The monotone iterative technique for a parabolic boundary value problem with discontinuous nonlinearity. Zbl 0696.35083
Carl, Siegfried
11
1989
Existence and monotone iterations for parabolic differential inclusions. Zbl 0857.35074
Carl, S.; Grossmann, Ch.; Pao, C. V.
11
1996
On solvability of first order discontinuous scalar differential equations. Zbl 0829.34005
Carl, S.; Heikkilä, S.; Kumpulainen, M.
10
1995
\(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer and a Hopf-type maximum principle. Zbl 1342.35092
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
10
2016
Nonlinear elliptic differential inclusions governed by state-dependent subdifferentials. Zbl 0931.35203
Carl, S.; Heikkilä, S.; Lakshmikantham, V.
9
1995
Operator and differential equations in ordered spaces. Zbl 0936.47042
Carl, S.; Heikkilä, S.
9
1999
Constant-sign and sign-changing solutions of a nonlinear eigenvalue problem involving the \(p\)-Laplacian. Zbl 1212.35109
Carl, Siegfried; Motreanu, Dumitru
9
2007
Quasilinear parabolic variational inequalities with multi-valued lower-order terms. Zbl 1317.35137
Carl, Siegfried; Le, Vy K.
9
2014
The sub- and supersolution method for variational-hemivariational inequalities. Zbl 1144.35391
Carl, Siegfried
9
2008
Fixed point theorems in ordered Banach spaces via quasilinearization. Zbl 1215.47045
Lakshmikantham, V.; Carl, S.; Heikkilä, S.
9
2009
Quasilinear elliptic inclusions of hemivariational type: extremality and compactness of the solution set. Zbl 1160.35552
Carl, S.; Motreanu, D.
8
2003
Quasilinear elliptic equations with discontinuous nonlinearities in \(\mathbb{R}^N\). Zbl 0895.35032
Carl, S.
8
1997
On discontinuous first-order implicit boundary value problems. Zbl 0921.34019
Carl, S.; Heikkilä, S.
8
1998
Existence, comparison, and compactness results for quasilinear variational-hemivariational inequalities. Zbl 1085.49009
Carl, S.; Le, Vy K.; Motreanu, D.
8
2005
Sub-supersolution method for quasilinear parabolic variational inequalities. Zbl 1044.49003
Carl, S.; Le, Vy K.
8
2004
Existence and comparison results for quasilinear evolution hemivariational inequalities. Zbl 1053.49005
Carl, Siegfried; Le, Vy K.; Motreanu, Dumitru
8
2004
Monotone enclosure for elliptic and parabolic systems wit nonmonotone nonlinearities. Zbl 0778.65074
Carl, S.; Grossmann, C.
8
1990
Elliptic variational inequalities with discontinuous multi-valued lower order terms. Zbl 1271.49006
Carl, Siegfried
8
2013
Sign-changing and extremal constant-sign solutions of nonlinear elliptic problems with supercritical nonlinearities. Zbl 1138.35012
Carl, Siegfried; Motreanu, Dumitru
8
2007
Existence and extremal solutions of parabolic variational-hemivariational inequalities. Zbl 1277.35228
Carl, Siegfried
8
2013
Extremal solutions of a class of dynamic boundary hemivariational inequalities. Zbl 1012.35052
Carl, Siegfried; Gilbert, R. P.
7
2002
Extremal solutions of parabolic hemivariational inequalities. Zbl 1042.35585
Carl, Siegfried
7
2001
Generalized solutions of singular \(p\)-Laplacian problems in \(\mathbb R^N\). Zbl 1217.35083
Carl, Siegfried; Perera, Kanishka
7
2011
Equivalence of some multi-valued elliptic variational inequalities and variational-hemivariational inequalities. Zbl 1218.35109
Carl, Siegfried
7
2011
General comparison principle for variational-hemivariational inequalities. Zbl 1173.49008
Carl, Siegfried; Winkert, Patrick
7
2009
Extremal solutions of logistic-type equations in exterior domain in \(\mathbb{R}^2\). Zbl 1401.35115
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
7
2018
Extremal and sign-changing solutions of supercritical logistic-type equations in \(\mathbb {R}^N\). Zbl 1335.35031
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
7
2015
Multiple solutions for elliptic systems via trapping regions and related nonsmooth potentials. Zbl 1325.35040
Carl, Siegfried; Motreanu, Dumitru
7
2015
Multiple and sign-changing solutions for the multivalued \(p\)-Laplacian equation. Zbl 1194.35522
Carl, Siegfried; Motreanu, Dumitru
7
2010
Extremal solutions of quasilinear parabolic boundary value problems with discontinuous nonlinearities. Zbl 0803.35077
Carl, Siegfried; Heikkilä, Seppo
6
1994
On discontinuous implicit and explicit abstract impulsive boundary value problems. Zbl 0985.34050
Carl, S.; Heikkila, S.
6
2000
Critical points in open sublevels and multiple solutions for parameter-depending quasilinear elliptic equations. Zbl 1300.35053
Candito, P.; Carl, S.; Livrea, R.
6
2014
Extremal solutions of \(p\)-Laplacian problems in \(D^{1, p}(\mathbb{R}^N)\) via Wolff potential estimates. Zbl 1375.35223
Carl, Siegfried
6
2017
Existence results for equations in ordered Hilbert spaces and elliptic BVP’s. Zbl 1040.35025
Carl, S.; Heikkilä, S.
5
2002
On discontinuous implicit evolution equations. Zbl 0909.34050
Carl, S.; Heikkilä, S.
5
1998
Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions. Zbl 0973.35122
Carl, S.; Heikkilä, S.
5
2000
Generalized quasilinearization and semilinear parabolic problems. Zbl 1011.35079
Carl, S.; Lakshmikantham, V.
5
2002
Existence results for implicit functional parabolic problems. Zbl 1029.35123
Carl, S.; Heikkilä, S.
5
2002
Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type. Zbl 1290.35140
Carl, Siegfried; Jerome, Joseph W.
5
2002
Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP’s. Zbl 1071.35052
Carl, S.; Heikkilä, S.
5
2003
Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations. Zbl 1063.47052
Carl, S.; Heikkilä, S.
5
2004
Enclosure results for quasilinear systems of variational inequalities. Zbl 1049.49004
Carl, S.; Le, Vy K.
5
2004
On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems. Zbl 1108.34020
Carl, S.; Heikkilä, S.
5
2005
A monotone iterative scheme for nonlinear reaction-diffusion systems having nonmonotone reaction terms. Zbl 0661.65126
Carl, S.
5
1988
Ein konstruktiver Existenzsatz für Randwertprobleme elliptischer Differentialgleichungen zweiter Ordnung mit unstetiger Nichtlinearität. (A constructive existence theorem for boundary value problems of second order elliptic differential equations with discontinuous nonlinearity). Zbl 0666.35032
Carl, S.
5
1988
A combined variational-monotone iterative method for elliptic boundary value problems with discontinuous nonlinearity. Zbl 0713.35032
Carl, Siegfried
5
1992
Barrier solutions of elliptic variational inequalities. Zbl 1330.35184
Carl, Siegfried
5
2015
On a generalized iteration method with applications to fixed point theorems and elliptic systems involving discontinuities. Zbl 0779.35039
Carl, Siegfried; Heikkilä, Seppo; Kumpulainen, Martti
4
1993
Existence and comparison results for variational-hemivariational inequalities. Zbl 1080.49007
Carl, S.
4
2005
Operator equations in orderd sets and discontinuous implicit parabolic equations. Zbl 0974.35062
Carl, S.; Heikkilä, S.
4
2001
Generalized quasilinearization for quasilinear parabolic equations with nonlinearities of DC type. Zbl 0984.35087
Carl, S.; Lakshmikantham, V.
4
2001
Existence of solutions for discontinuous functional equations and elliptic boundary-value problems. Zbl 1001.35044
Carl, Siegfried; Heikkilä, Seppo
4
2002
Existence results for nonlocal and nonsmooth hemivariational inequalities. Zbl 1155.35049
Carl, S.; Heikkilä, S.
4
2006
Vector quasi-hemivariational inequalities and discontinuous elliptic systems. Zbl 1090.49005
Carl, S.; Naniewicz, Z.
4
2006
Variational approach to noncoercive systems of elliptic variational inequalities via trapping region. Zbl 1237.35078
Carl, Siegfried
4
2012
Sub-supersolution method for multi-valued elliptic and evolution problems. Zbl 1387.35305
Carl, Siegfried; Motreanu, Dumitru
4
2010
\(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer on manifolds and multiple solutions for zero-mass equations in \(\mathbb{R}^N\). Zbl 1394.35153
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
4
2018
Signorini type variational inequality with state-dependent discontinuous multi-valued boundary operators. Zbl 1308.35113
Carl, Siegfried
4
2013
Existence and multiplicity for quasilinear elliptic inclusions with nonmonotone discontinuous multifunction. Zbl 1163.35341
Carl, Siegfried; Heikkilä, Seppo
4
2009
Multiple solutions for quasilinear elliptic problems via critical points in open sublevels and truncation principles. Zbl 1246.35094
Candito, P.; Carl, S.; Livrea, R.
4
2012
Multi-valued parabolic variational inequalities and related variational-hemivariational inequalities. Zbl 1304.35375
Carl, Siegfried; Le, Vy Khoi
4
2014
Trapping regions for discontinuously coupled systems of evolution variational inequalities and application. Zbl 1026.35058
Carl, S.; Heikkilä, S.; Jerome, J. W.
3
2003
Extremality in solving general quasilinear parabolic inclusions. Zbl 1069.35028
Carl, S.; Motreanu, D.
3
2004
A survey of recent results on the enclosure and extremality of solutions for quasilinear hemivariational inequalities. Zbl 1058.35134
Carl, Siegfried
3
2001
On first order discontinuous implicit boundary value problems. Zbl 0954.34051
Carl, S.; Heikkilä, S.; Koponen, P.
3
1999
Sign-changing solutions for nonlinear elliptic problems depending on parameters. Zbl 1207.35287
Carl, Siegfried; Motreanu, Dumitru
3
2010
Parameter-dependent variational-hemivariational inequalities and an unstable degenerate elliptic free boundary problem. Zbl 1231.35082
Carl, Siegfried
3
2011
Multiple solutions of quasilinear periodic-parabolic inclusions. Zbl 1184.35170
Carl, Siegfried
3
2010
Extremal solutions of multi-valued variational inequalities in plane exterior domains. Zbl 1421.35140
Carl, Siegfried; Le, Vy K.
3
2019
Quasilinear elliptic inclusions of Clarke’s gradient type under local growth conditions. Zbl 1156.35494
Carl, S.; Motreanu, D.
3
2006
Nonsmooth, nonlocal and implicit differential equations in lattice-ordered Banach spaces. Zbl 1170.34006
Carl, S.; Heikkilä, S.
3
2008
Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces. Zbl 1159.34338
Carl, Siegfried; Heikkilä, S.
3
2005
Existence results for hemivariational inequalities with measures. Zbl 1197.35102
Carl, Siegfried; Le, Vy. K.
3
2007
Extremal solutions for quasilinear elliptic inclusions in all of \(\mathbb{R}^N\) with state-dependent subdifferentials. Zbl 0970.47034
Carl, S.
3
2000
Drift-diffusion in electrochemistry: thresholds for boundary flux and discontinuous optical generation. Zbl 1066.35012
Carl, S.; Jerome, J. W.
2
2004
Extremal solutions of quasilinear parabolic subdifferential inclusions. Zbl 1036.35112
Carl, Siegfried; Motreanu, Dumitru
2
2003
Multi-valued variational inequalities and inclusions. Zbl 1462.49001
Carl, Siegfried; Le, Vy Khoi
12
2021
On systems of parabolic variational inequalities with multivalued terms. Zbl 1458.35239
Carl, Siegfried; Le, Vy. K.
1
2021
\(N\)-Laplacian elliptic equations in exterior domains via Kelvin transform. Zbl 1460.35173
Carl, Siegfried
1
2020
Extremal solutions of multi-valued variational inequalities in plane exterior domains. Zbl 1421.35140
Carl, Siegfried; Le, Vy K.
3
2019
Invariance of critical points under Kelvin transform and multiple solutions in exterior domains of \(\mathbb {R}^2\). Zbl 1422.35071
Carl, Siegfried; Costa, David G.; Fotouhi, Morteza; Tehrani, Hossein
1
2019
Extremal solutions of logistic-type equations in exterior domain in \(\mathbb{R}^2\). Zbl 1401.35115
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
7
2018
\(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer on manifolds and multiple solutions for zero-mass equations in \(\mathbb{R}^N\). Zbl 1394.35153
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
4
2018
Decay estimates for Wolff potentials in \(\mathbb{R}^N\) and gradient-dependent quasilinear elliptic equations. Zbl 1401.35129
Carl, Siegfried
2
2018
Extremal solutions for quasilinear parabolic systems in trapping regions. Zbl 1474.35197
Carl, Siegfried; Motreanu, Dumitru
1
2018
Quasilinear elliptic equations with measures and multi-valued lower order terms. Zbl 1386.35506
Carl, Siegfried; Tietz, Christoph
1
2018
Extremal solutions for nonvariational quasilinear elliptic systems via expanding trapping regions. Zbl 1368.35147
Carl, Siegfried; Motreanu, Dumitru
21
2017
Extremal solutions of \(p\)-Laplacian problems in \(D^{1, p}(\mathbb{R}^N)\) via Wolff potential estimates. Zbl 1375.35223
Carl, Siegfried
6
2017
\(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer and a Hopf-type maximum principle. Zbl 1342.35092
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
10
2016
Elliptic inequalities with multi-valued operators: existence, comparison and related variational-hemivariational type inequalities. Zbl 1319.35059
Carl, Siegfried; Le, Vy Khoi
14
2015
Extremal and sign-changing solutions of supercritical logistic-type equations in \(\mathbb {R}^N\). Zbl 1335.35031
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
7
2015
Multiple solutions for elliptic systems via trapping regions and related nonsmooth potentials. Zbl 1325.35040
Carl, Siegfried; Motreanu, Dumitru
7
2015
Barrier solutions of elliptic variational inequalities. Zbl 1330.35184
Carl, Siegfried
5
2015
Quasilinear parabolic variational inequalities with multi-valued lower-order terms. Zbl 1317.35137
Carl, Siegfried; Le, Vy K.
9
2014
Critical points in open sublevels and multiple solutions for parameter-depending quasilinear elliptic equations. Zbl 1300.35053
Candito, P.; Carl, S.; Livrea, R.
6
2014
Multi-valued parabolic variational inequalities and related variational-hemivariational inequalities. Zbl 1304.35375
Carl, Siegfried; Le, Vy Khoi
4
2014
Elliptic variational inequalities with discontinuous multi-valued lower order terms. Zbl 1271.49006
Carl, Siegfried
8
2013
Existence and extremal solutions of parabolic variational-hemivariational inequalities. Zbl 1277.35228
Carl, Siegfried
8
2013
Signorini type variational inequality with state-dependent discontinuous multi-valued boundary operators. Zbl 1308.35113
Carl, Siegfried
4
2013
Variational versus pseudomonotone operator approach in parameter-dependent nonlinear elliptic problems. Zbl 1303.35042
Candito, P.; Carl, S.; Livrea, R.
2
2013
Variational approach to noncoercive systems of elliptic variational inequalities via trapping region. Zbl 1237.35078
Carl, Siegfried
4
2012
Multiple solutions for quasilinear elliptic problems via critical points in open sublevels and truncation principles. Zbl 1246.35094
Candito, P.; Carl, S.; Livrea, R.
4
2012
Addendum to: “Variational approach to noncoercive systems of elliptic variational inequalities via trapping region”. Zbl 1250.35116
Carl, Siegfried
2
2012
Fixed point theory in ordered sets and applications. From differential and integral equations to game theory. Zbl 1209.47001
Carl, Siegfried; Heikkilä, Seppo
64
2011
Generalized solutions of singular \(p\)-Laplacian problems in \(\mathbb R^N\). Zbl 1217.35083
Carl, Siegfried; Perera, Kanishka
7
2011
Equivalence of some multi-valued elliptic variational inequalities and variational-hemivariational inequalities. Zbl 1218.35109
Carl, Siegfried
7
2011
Parameter-dependent variational-hemivariational inequalities and an unstable degenerate elliptic free boundary problem. Zbl 1231.35082
Carl, Siegfried
3
2011
Multiple and sign-changing solutions for the multivalued \(p\)-Laplacian equation. Zbl 1194.35522
Carl, Siegfried; Motreanu, Dumitru
7
2010
Sub-supersolution method for multi-valued elliptic and evolution problems. Zbl 1387.35305
Carl, Siegfried; Motreanu, Dumitru
4
2010
Sign-changing solutions for nonlinear elliptic problems depending on parameters. Zbl 1207.35287
Carl, Siegfried; Motreanu, Dumitru
3
2010
Multiple solutions of quasilinear periodic-parabolic inclusions. Zbl 1184.35170
Carl, Siegfried
3
2010
Directedness of solution set for some quasilinear multi-valued parabolic problems. Zbl 1183.35281
Carl, Siegfried; Motreanu, Dumitru
1
2010
General comparison principle for quasilinear elliptic inclusions. Zbl 1152.35306
Carl, Siegfried; Motreanu, Dumitru
19
2009
Fixed point theorems in ordered Banach spaces via quasilinearization. Zbl 1215.47045
Lakshmikantham, V.; Carl, S.; Heikkilä, S.
9
2009
General comparison principle for variational-hemivariational inequalities. Zbl 1173.49008
Carl, Siegfried; Winkert, Patrick
7
2009
Existence and multiplicity for quasilinear elliptic inclusions with nonmonotone discontinuous multifunction. Zbl 1163.35341
Carl, Siegfried; Heikkilä, Seppo
4
2009
Comparison principle for quasilinear parabolic inclusions with Clarke’s gradient. Zbl 1222.35049
Carl, Siegfried; Motreanu, Dumitru
2
2009
Order properties of spaces of non-absolutely integrable vector-valued functions and applications to differential equations. Zbl 1240.26012
Carl, S.; Heikkilä, S.; Ye, Guoju
1
2009
Constant-sign and sign-changing solutions for nonlinear eigenvalue problems. Zbl 1138.35075
Carl, Siegfried; Motreanu, Dumitru
25
2008
Evolutionary variational-hemivariational inequalities: Existence and comparison results. Zbl 1282.49006
Carl, Siegfried; Le, Vy K.; Motreanu, Dumitru
16
2008
The sub- and supersolution method for variational-hemivariational inequalities. Zbl 1144.35391
Carl, Siegfried
9
2008
Nonsmooth, nonlocal and implicit differential equations in lattice-ordered Banach spaces. Zbl 1170.34006
Carl, S.; Heikkilä, S.
3
2008
\(p\)-Laplacian inclusions via fixed points for multifunctions in posets. Zbl 1166.35388
Carl, Siegfried; Heikkilä, Seppo
2
2008
Nonsmooth variational problems and their inequalities. Comparison principles and applications. Zbl 1109.35004
Carl, Siegfried; Le, Vy Khoi; Motreanu, Dumitru
268
2007
Constant-sign and sign-changing solutions of a nonlinear eigenvalue problem involving the \(p\)-Laplacian. Zbl 1212.35109
Carl, Siegfried; Motreanu, Dumitru
9
2007
Sign-changing and extremal constant-sign solutions of nonlinear elliptic problems with supercritical nonlinearities. Zbl 1138.35012
Carl, Siegfried; Motreanu, Dumitru
8
2007
Existence results for hemivariational inequalities with measures. Zbl 1197.35102
Carl, Siegfried; Le, Vy. K.
3
2007
Existence and comparison results for noncoercive and nonmonotone multivalued elliptic problems. Zbl 1233.35090
Carl, S.
13
2006
Existence results for nonlocal and nonsmooth hemivariational inequalities. Zbl 1155.35049
Carl, S.; Heikkilä, S.
4
2006
Vector quasi-hemivariational inequalities and discontinuous elliptic systems. Zbl 1090.49005
Carl, S.; Naniewicz, Z.
4
2006
Quasilinear elliptic inclusions of Clarke’s gradient type under local growth conditions. Zbl 1156.35494
Carl, S.; Motreanu, D.
3
2006
Existence and comparison principles for general quasilinear variational-hemivariational inequalities. Zbl 1061.49007
Carl, S.; Le, Vy K.; Motreanu, D.
23
2005
Existence, comparison, and compactness results for quasilinear variational-hemivariational inequalities. Zbl 1085.49009
Carl, S.; Le, Vy K.; Motreanu, D.
8
2005
On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems. Zbl 1108.34020
Carl, S.; Heikkilä, S.
5
2005
Existence and comparison results for variational-hemivariational inequalities. Zbl 1080.49007
Carl, S.
4
2005
Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces. Zbl 1159.34338
Carl, Siegfried; Heikkilä, S.
3
2005
The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities. Zbl 1164.35301
Carl, S.; Le, Vy K.; Motreanu, D.
14
2004
Sub-supersolution method for quasilinear parabolic variational inequalities. Zbl 1044.49003
Carl, S.; Le, Vy K.
8
2004
Existence and comparison results for quasilinear evolution hemivariational inequalities. Zbl 1053.49005
Carl, Siegfried; Le, Vy K.; Motreanu, Dumitru
8
2004
Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations. Zbl 1063.47052
Carl, S.; Heikkilä, S.
5
2004
Enclosure results for quasilinear systems of variational inequalities. Zbl 1049.49004
Carl, S.; Le, Vy K.
5
2004
Extremality in solving general quasilinear parabolic inclusions. Zbl 1069.35028
Carl, S.; Motreanu, D.
3
2004
Drift-diffusion in electrochemistry: thresholds for boundary flux and discontinuous optical generation. Zbl 1066.35012
Carl, S.; Jerome, J. W.
2
2004
Monotone penalty approximation of extremal solutions for quasilinear noncoercive variational inequalities. Zbl 1048.49005
Carl, S.; Le, Vy K.
1
2004
Extremal solutions of quasilinear parabolic inclusions with generalized Clarke’s gradient. Zbl 1042.35092
Carl, S.; Motreanu, D.
47
2003
Quasilinear elliptic inclusions of hemivariational type: extremality and compactness of the solution set. Zbl 1160.35552
Carl, S.; Motreanu, D.
8
2003
Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP’s. Zbl 1071.35052
Carl, S.; Heikkilä, S.
5
2003
Trapping regions for discontinuously coupled systems of evolution variational inequalities and application. Zbl 1026.35058
Carl, S.; Heikkilä, S.; Jerome, J. W.
3
2003
Extremal solutions of quasilinear parabolic subdifferential inclusions. Zbl 1036.35112
Carl, Siegfried; Motreanu, Dumitru
2
2003
Existence results for implicit functional evolution equations and parabolic IBVP’s. Zbl 1053.34057
Carl, S.; Heikkilä, S.
2
2003
Sign-changing and multiple solutions for the \(p\)-Laplacian. Zbl 1106.35308
Carl, Siegfried; Perera, Kanishka
37
2002
Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions. Zbl 1010.65041
Carl, S.; Lakshmikantham, V.
21
2002
Elliptic problems with lack of compactness via a new fixed point theorem. Zbl 1508.35010
Carl, S.; Heikkilä, S.
18
2002
Extremal solutions of a class of dynamic boundary hemivariational inequalities. Zbl 1012.35052
Carl, Siegfried; Gilbert, R. P.
7
2002
Existence results for equations in ordered Hilbert spaces and elliptic BVP’s. Zbl 1040.35025
Carl, S.; Heikkilä, S.
5
2002
Generalized quasilinearization and semilinear parabolic problems. Zbl 1011.35079
Carl, S.; Lakshmikantham, V.
5
2002
Existence results for implicit functional parabolic problems. Zbl 1029.35123
Carl, S.; Heikkilä, S.
5
2002
Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type. Zbl 1290.35140
Carl, Siegfried; Jerome, Joseph W.
5
2002
Existence of solutions for discontinuous functional equations and elliptic boundary-value problems. Zbl 1001.35044
Carl, Siegfried; Heikkilä, Seppo
4
2002
Existence of extremal solutions of boundary hemivariational inequalities. Zbl 1180.35255
Carl, S.
28
2001
Extremal solutions of parabolic hemivariational inequalities. Zbl 1042.35585
Carl, Siegfried
7
2001
Operator equations in orderd sets and discontinuous implicit parabolic equations. Zbl 0974.35062
Carl, S.; Heikkilä, S.
4
2001
Generalized quasilinearization for quasilinear parabolic equations with nonlinearities of DC type. Zbl 0984.35087
Carl, S.; Lakshmikantham, V.
4
2001
A survey of recent results on the enclosure and extremality of solutions for quasilinear hemivariational inequalities. Zbl 1058.35134
Carl, Siegfried
3
2001
Extremal solutions of hemivariational inequalities with D. C. -superpotentials. Zbl 0997.49010
Carl, Siegfried
2
2001
Nonlinear differential equations in ordered spaces. Zbl 0948.34001
Carl, S.; Heikkilä, S.
81
2000
On discontinuous implicit and explicit abstract impulsive boundary value problems. Zbl 0985.34050
Carl, S.; Heikkila, S.
6
2000
Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions. Zbl 0973.35122
Carl, S.; Heikkilä, S.
5
2000
Extremal solutions for quasilinear elliptic inclusions in all of \(\mathbb{R}^N\) with state-dependent subdifferentials. Zbl 0970.47034
Carl, S.
3
2000
Extremality results for first-order discontinuous functional differential equations. Zbl 0960.34053
Carl, S.; Heikkilä, S.
1
2000
Operator and differential equations in ordered spaces. Zbl 0936.47042
Carl, S.; Heikkilä, S.
9
1999
On first order discontinuous implicit boundary value problems. Zbl 0954.34051
Carl, S.; Heikkilä, S.; Koponen, P.
3
1999
On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions. Zbl 0981.34051
Carl, S.; Heikkilä, S.
1
1999
Elliptic equations with discontinuous nonlinearities in \(\mathbb{R}^N\). Zbl 0908.35038
Carl, S.; Heikkilä, S.
12
1998
On discontinuous first-order implicit boundary value problems. Zbl 0921.34019
Carl, S.; Heikkilä, S.
8
1998
On discontinuous implicit evolution equations. Zbl 0909.34050
Carl, S.; Heikkilä, S.
5
1998
...and 35 more Documents
all top 5

Cited by 626 Authors

78 Carl, Siegfried
55 Motreanu, Dumitru
51 Heikkilä, Seppo V.
32 Le, Vy Khoi
32 Papageorgiou, Nikolaos S.
31 Migórski, Stanisław
29 Zeng, Shengda
24 Winkert, Patrick
23 Liu, Zhenhai
20 Han, Weimin
16 Marano, Salvatore Angelo
14 Gasiński, Leszek
13 Alves, Claudianor Oliveira
13 Huang, Nan-Jing
13 O’Regan, Donal
13 Peng, Zijia
13 Yao, Jen-Chih
12 Xiao, Yibin
11 Bai, Yunru
10 Agarwal, Ravi P.
10 López Pouso, Rodrigo
9 Cabada, Alberto
9 Ochal, Anna
9 Tang, Guoji
8 Chadli, Ouayl
8 Guarnotta, Umberto
8 Moussaoui, Abdelkrim
8 Rădulescu, Vicenţiu D.
8 Staicu, Vasile
8 Tornatore, Elisabetta
7 Cid, José Ángel
7 Han, Jiangfeng
7 Livrea, Roberto
7 Motreanu, Viorica Venera
7 Vetro, Calogero
6 Asfaw, Teffera M.
6 Costa, David Goldstein
6 Jerome, Joseph W.
6 Kalita, Piotr
6 Kelevedjiev, Petio S.
6 Lakshmikantham, Vangipuram
6 Liu, Yongjian
6 Tanaka, Mieko
6 Tehrani, Hossein Torabi
5 Candito, Pasquale
5 Ceng, Lu-Chuan
5 Dhage, Bapurao C.
5 Eberl, Hermann J.
5 Abreu Goncalves, Jose Valdo
5 Kumpulainen, Martti
5 Nguyen Bich Huy
5 Potapov, Dmitriĭ Konstantinovich
5 Santos, Jefferson Abrantes
5 Sciammetta, Angela
4 Cheng, Yi
4 Dong, Ge
4 Fang, Xiaochun
4 Fiacca, Antonella
4 Gariboldi, Claudia M.
4 Grossmann, Christian
4 Khan, Akhtar Ali
4 Lan, Hengyou
4 Németh, Sándor Zoltán
4 Rocha, Eugénio A. M.
4 Santos, Carlos Alberto P.
4 Schmitt, Klaus
4 Sofonea, Mircea
4 Sun, Mingzheng
4 Tarzia, Domingo Alberto
4 Wang, Fei
4 Wang, Jinrong
4 Yao, Yonghong
4 Zhou, Yuying
3 Alfuraidan, Monther Rashed
3 Alphonse, Amal
3 Ambrazevičius, Algirdas
3 Ambrosio, Vincenzo
3 Bin, Maojun
3 Boulaaras, Salah Mahmoud
3 Cubiotti, Paolo
3 D’Aguì, Giuseppina
3 Dudek, Sylwia
3 Faraci, Francesca
3 Filippakis, Michael E.
3 Gaebler, Harry J.
3 Guo, Furi
3 Gwinner, Joachim
3 He, Tieshan
3 Iannizzotto, Antonio
3 Khamsi, Mohamed Amine
3 Levashova, Natalia T.
3 Li, Xiuwen
3 Ling, Min
3 Miettinen, Markku
3 Mohapatra, Ram Narayan
3 Ôtani, Mitsuharu
3 Pavlenko, Vyacheslav Nikolaevich
3 Puglisi, Daniele
3 Sapa, Lucjan
3 Skakauskas, Vladas
...and 526 more Authors
all top 5

Cited in 160 Serials

92 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
65 Journal of Mathematical Analysis and Applications
25 Nonlinear Analysis. Real World Applications
23 Journal of Differential Equations
22 Applicable Analysis
20 Journal of Optimization Theory and Applications
15 Applied Mathematics and Computation
14 Nonlinear Analysis. Theory, Methods & Applications
12 Boundary Value Problems
11 Journal of Computational and Applied Mathematics
11 Monatshefte für Mathematik
11 Communications in Nonlinear Science and Numerical Simulation
9 Computers & Mathematics with Applications
9 Numerical Functional Analysis and Optimization
9 Journal of Global Optimization
9 Abstract and Applied Analysis
8 Optimization
8 Calculus of Variations and Partial Differential Equations
8 Journal of Inequalities and Applications
8 Fixed Point Theory and Applications
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Proceedings of the American Mathematical Society
7 Applied Mathematics Letters
7 Journal of Fixed Point Theory and Applications
7 Discrete and Continuous Dynamical Systems. Series S
7 Set-Valued and Variational Analysis
6 Advanced Nonlinear Studies
6 Mediterranean Journal of Mathematics
6 Complex Variables and Elliptic Equations
6 Advances in Nonlinear Analysis
6 Journal of Function Spaces
5 Applied Mathematics and Optimization
5 Mathematische Nachrichten
5 Acta Applicandae Mathematicae
5 Journal of Scientific Computing
5 SIAM Journal on Mathematical Analysis
5 Differential Equations
5 Journal of Nonlinear and Variational Analysis
4 Bulletin of the Australian Mathematical Society
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Results in Mathematics
4 Zeitschrift für Analysis und ihre Anwendungen
4 Communications on Pure and Applied Analysis
4 Advances in Difference Equations
4 Evolution Equations and Control Theory
3 Mathematical Methods in the Applied Sciences
3 Rocky Mountain Journal of Mathematics
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 The Journal of Geometric Analysis
3 Set-Valued Analysis
3 NoDEA. Nonlinear Differential Equations and Applications
3 Differential Equations and Dynamical Systems
3 Communications in Contemporary Mathematics
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Optimization Letters
3 Minimax Theory and its Applications
2 Israel Journal of Mathematics
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Bulletin of Mathematical Biology
2 Czechoslovak Mathematical Journal
2 Glasgow Mathematical Journal
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 SIAM Journal on Control and Optimization
2 Tôhoku Mathematical Journal. Second Series
2 Mathematical and Computer Modelling
2 European Journal of Applied Mathematics
2 Applications of Mathematics
2 Computational Mathematics and Mathematical Physics
2 Applied Mathematical Modelling
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 SIAM Journal on Optimization
2 Topological Methods in Nonlinear Analysis
2 Filomat
2 Journal of Convex Analysis
2 Complexity
2 Discrete and Continuous Dynamical Systems
2 Doklady Mathematics
2 Acta Mathematica Sinica. English Series
2 The ANZIAM Journal
2 Journal of Applied Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Central European Journal of Mathematics
2 Differential Equations and Applications
2 Science China. Mathematics
2 Open Mathematics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
2 SN Partial Differential Equations and Applications
1 Journal of Computational Physics
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Chaos, Solitons and Fractals
1 BIT
1 Demonstratio Mathematica
1 Journal of Functional Analysis
1 Journal of Mathematical Economics
1 Mathematische Annalen
...and 60 more Serials
all top 5

Cited in 37 Fields

438 Partial differential equations (35-XX)
198 Operator theory (47-XX)
183 Calculus of variations and optimal control; optimization (49-XX)
110 Ordinary differential equations (34-XX)
53 Numerical analysis (65-XX)
45 Mechanics of deformable solids (74-XX)
37 Global analysis, analysis on manifolds (58-XX)
21 General topology (54-XX)
21 Operations research, mathematical programming (90-XX)
18 Functional analysis (46-XX)
17 Real functions (26-XX)
14 Fluid mechanics (76-XX)
14 Systems theory; control (93-XX)
11 Biology and other natural sciences (92-XX)
9 Integral equations (45-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Probability theory and stochastic processes (60-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Measure and integration (28-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Difference and functional equations (39-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Differential geometry (53-XX)
2 History and biography (01-XX)
2 Sequences, series, summability (40-XX)
2 Convex and discrete geometry (52-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)

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