Carl, Siegfried; Le, Vy K. Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions. (English) Zbl 1518.35381 Appl. Anal. 102, No. 7, 2067-2096 (2023). MSC: 35J87 35J92 35A01 PDFBibTeX XMLCite \textit{S. Carl} and \textit{V. K. Le}, Appl. Anal. 102, No. 7, 2067--2096 (2023; Zbl 1518.35381) Full Text: DOI
Carl, Siegfried Extremal solutions of quasilinear elliptic variational inequalities in exterior domains. (English) Zbl 1512.35322 Pure Appl. Funct. Anal. 8, No. 1, 133-155 (2023). MSC: 35J87 35J92 PDFBibTeX XMLCite \textit{S. Carl}, Pure Appl. Funct. Anal. 8, No. 1, 133--155 (2023; Zbl 1512.35322) Full Text: Link
Carl, Siegfried; Le, Vy Khoi Multi-valued variational inequalities and inclusions. (English) Zbl 1462.49001 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-030-65164-0/hbk; 978-3-030-65167-1/pbk; 978-3-030-65165-7/ebook). xvii, 584 p. (2021). Reviewer: Dian K. Palagachev (Bari) MSC: 49-02 49J40 49J20 46E35 35J87 35J88 35K86 35K87 35R05 35R70 47J20 47J22 47J35 28Bxx 35B51 35J20 35J66 35K61 35K92 35Q74 47H04 47H05 47H07 49J53 PDFBibTeX XMLCite \textit{S. Carl} and \textit{V. K. Le}, Multi-valued variational inequalities and inclusions. Cham: Springer (2021; Zbl 1462.49001) Full Text: DOI
Carl, Siegfried; Le, Vy. K. On systems of parabolic variational inequalities with multivalued terms. (English) Zbl 1458.35239 Monatsh. Math. 194, No. 2, 227-260 (2021). MSC: 35K86 47H04 PDFBibTeX XMLCite \textit{S. Carl} and \textit{Vy. K. Le}, Monatsh. Math. 194, No. 2, 227--260 (2021; Zbl 1458.35239) Full Text: DOI
Carl, Siegfried \(N\)-Laplacian elliptic equations in exterior domains via Kelvin transform. (English) Zbl 1460.35173 Pure Appl. Funct. Anal. 5, No. 4, 869-890 (2020). MSC: 35J92 35J25 35J20 35B65 PDFBibTeX XMLCite \textit{S. Carl}, Pure Appl. Funct. Anal. 5, No. 4, 869--890 (2020; Zbl 1460.35173) Full Text: Link
Carl, Siegfried; Le, Vy K. Extremal solutions of multi-valued variational inequalities in plane exterior domains. (English) Zbl 1421.35140 J. Differ. Equations 267, No. 8, 4863-4889 (2019). MSC: 35J87 35B51 49J52 49J53 PDFBibTeX XMLCite \textit{S. Carl} and \textit{V. K. Le}, J. Differ. Equations 267, No. 8, 4863--4889 (2019; Zbl 1421.35140) Full Text: DOI
Carl, Siegfried; Costa, David G.; Tehrani, Hossein \(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer on manifolds and multiple solutions for zero-mass equations in \(\mathbb{R}^N\). (English) Zbl 1394.35153 Adv. Calc. Var. 11, No. 3, 257-272 (2018). MSC: 35J15 35J20 PDFBibTeX XMLCite \textit{S. Carl} et al., Adv. Calc. Var. 11, No. 3, 257--272 (2018; Zbl 1394.35153) Full Text: DOI
Carl, Siegfried; Costa, David G.; Tehrani, Hossein Extremal and sign-changing solutions of supercritical logistic-type equations in \(\mathbb {R}^N\). (English) Zbl 1335.35031 Calc. Var. Partial Differ. Equ. 54, No. 4, 4143-4164 (2015). MSC: 35J15 35J20 35J61 PDFBibTeX XMLCite \textit{S. Carl} et al., Calc. Var. Partial Differ. Equ. 54, No. 4, 4143--4164 (2015; Zbl 1335.35031) Full Text: DOI
Carl, Siegfried Barrier solutions of elliptic variational inequalities. (English) Zbl 1330.35184 Nonlinear Anal., Real World Appl. 26, 75-92 (2015). MSC: 35J87 49J40 35B45 PDFBibTeX XMLCite \textit{S. Carl}, Nonlinear Anal., Real World Appl. 26, 75--92 (2015; Zbl 1330.35184) Full Text: DOI
Carl, Siegfried; Motreanu, Dumitru Multiple solutions for elliptic systems via trapping regions and related nonsmooth potentials. (English) Zbl 1325.35040 Appl. Anal. 94, No. 8, 1594-1613 (2015). MSC: 35J57 35J92 35B38 35J50 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, Appl. Anal. 94, No. 8, 1594--1613 (2015; Zbl 1325.35040) Full Text: DOI
Carl, Siegfried; Le, Vy Khoi Elliptic inequalities with multi-valued operators: existence, comparison and related variational-hemivariational type inequalities. (English) Zbl 1319.35059 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 130-152 (2015). Reviewer: Said El Manouni (Berlin) MSC: 35J87 35R70 47H04 49J40 35R45 35B51 PDFBibTeX XMLCite \textit{S. Carl} and \textit{V. K. Le}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 130--152 (2015; Zbl 1319.35059) Full Text: DOI
Carl, Siegfried; Le, Vy K. Quasilinear parabolic variational inequalities with multi-valued lower-order terms. (English) Zbl 1317.35137 Z. Angew. Math. Phys. 65, No. 5, 845-864 (2014). Reviewer: Nicolae Pop (Baia Mare) MSC: 35K86 47H04 47J20 35B51 PDFBibTeX XMLCite \textit{S. Carl} and \textit{V. K. Le}, Z. Angew. Math. Phys. 65, No. 5, 845--864 (2014; Zbl 1317.35137) Full Text: DOI
Candito, P.; Carl, S.; Livrea, R. Critical points in open sublevels and multiple solutions for parameter-depending quasilinear elliptic equations. (English) Zbl 1300.35053 Adv. Differ. Equ. 19, No. 11-12, 1021-1042 (2014). MSC: 35J92 35B38 35B30 35J20 35R45 PDFBibTeX XMLCite \textit{P. Candito} et al., Adv. Differ. Equ. 19, No. 11--12, 1021--1042 (2014; Zbl 1300.35053) Full Text: Euclid
Carl, Siegfried; Le, Vy Khoi Multi-valued parabolic variational inequalities and related variational-hemivariational inequalities. (English) Zbl 1304.35375 Adv. Nonlinear Stud. 14, No. 3, 631-659 (2014). Reviewer: Leszek Gasiński (Kraków) MSC: 35K86 47H04 35B51 PDFBibTeX XMLCite \textit{S. Carl} and \textit{V. K. Le}, Adv. Nonlinear Stud. 14, No. 3, 631--659 (2014; Zbl 1304.35375) Full Text: DOI
Carl, Siegfried Signorini type variational inequality with state-dependent discontinuous multi-valued boundary operators. (English) Zbl 1308.35113 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 92, 138-152 (2013). MSC: 35J87 35R70 47H04 47J20 PDFBibTeX XMLCite \textit{S. Carl}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 92, 138--152 (2013; Zbl 1308.35113) Full Text: DOI
Carl, Siegfried Existence and extremal solutions of parabolic variational-hemivariational inequalities. (English) Zbl 1277.35228 Monatsh. Math. 172, No. 1, 29-54 (2013). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35K86 35B51 35R70 47H04 47J35 PDFBibTeX XMLCite \textit{S. Carl}, Monatsh. Math. 172, No. 1, 29--54 (2013; Zbl 1277.35228) Full Text: DOI
Carl, Siegfried Elliptic variational inequalities with discontinuous multi-valued lower order terms. (English) Zbl 1271.49006 Adv. Nonlinear Stud. 13, No. 1, 55-78 (2013). MSC: 49J40 49J53 47H04 47J20 35J87 35R70 PDFBibTeX XMLCite \textit{S. Carl}, Adv. Nonlinear Stud. 13, No. 1, 55--78 (2013; Zbl 1271.49006) Full Text: DOI
Candito, P.; Carl, S.; Livrea, R. Multiple solutions for quasilinear elliptic problems via critical points in open sublevels and truncation principles. (English) Zbl 1246.35094 J. Math. Anal. Appl. 395, No. 1, 156-163 (2012). MSC: 35J92 35B38 35A15 35B65 35B45 PDFBibTeX XMLCite \textit{P. Candito} et al., J. Math. Anal. Appl. 395, No. 1, 156--163 (2012; Zbl 1246.35094) Full Text: DOI
Carl, Siegfried Parameter-dependent variational-hemivariational inequalities and an unstable degenerate elliptic free boundary problem. (English) Zbl 1231.35082 Nonlinear Anal., Real World Appl. 12, No. 6, 3185-3198 (2011). MSC: 35J87 35J92 35J20 35R35 PDFBibTeX XMLCite \textit{S. Carl}, Nonlinear Anal., Real World Appl. 12, No. 6, 3185--3198 (2011; Zbl 1231.35082) Full Text: DOI
Carl, Siegfried Equivalence of some multi-valued elliptic variational inequalities and variational-hemivariational inequalities. (English) Zbl 1218.35109 Adv. Nonlinear Stud. 11, No. 2, 247-263 (2011). MSC: 35J87 35R70 47H04 49J40 35B51 PDFBibTeX XMLCite \textit{S. Carl}, Adv. Nonlinear Stud. 11, No. 2, 247--263 (2011; Zbl 1218.35109) Full Text: DOI
Carl, Siegfried; Perera, Kanishka Generalized solutions of singular \(p\)-Laplacian problems in \(\mathbb R^N\). (English) Zbl 1217.35083 Nonlinear Stud. 18, No. 1, 113-124 (2011). MSC: 35J75 35J92 35D30 35B20 35B51 35B65 35J20 PDFBibTeX XMLCite \textit{S. Carl} and \textit{K. Perera}, Nonlinear Stud. 18, No. 1, 113--124 (2011; Zbl 1217.35083)
Carl, Siegfried; Heikkilä, Seppo Fixed point theory in ordered sets and applications. From differential and integral equations to game theory. (English) Zbl 1209.47001 New York, NY: Springer (ISBN 978-1-4419-7584-3/hbk; 978-1-4419-7585-0/ebook). xiv, 477 p. (2011). Reviewer: Christos E. Kountzakis (Karlovassi) MSC: 47-02 06Axx 06Bxx 03F60 28B05 34Axx 34Bxx 34Gxx 34Kxx 35B51 35J87 35K86 45N05 46G12 47H04 47H10 47J10 49J40 91A10 91B16 91B50 58D25 PDFBibTeX XMLCite \textit{S. Carl} and \textit{S. Heikkilä}, Fixed point theory in ordered sets and applications. From differential and integral equations to game theory. New York, NY: Springer (2011; Zbl 1209.47001) Full Text: DOI
Carl, Siegfried Combined variational and sub-supersolution approach for multi-valued elliptic variational inequalities. (English) Zbl 1240.35068 Stud. Univ. Babeș-Bolyai, Math. 55, No. 4, 53-72 (2010). Reviewer: Vicentiu D. Radulescu (Craiova) MSC: 35B51 35J87 47J22 49J52 PDFBibTeX XMLCite \textit{S. Carl}, Stud. Univ. Babeș-Bolyai, Math. 55, No. 4, 53--72 (2010; Zbl 1240.35068)
Carl, Siegfried; Motreanu, Dumitru Sub-supersolution method for multi-valued elliptic and evolution problems. (English) Zbl 1387.35305 Gao, David Yang (ed.) et al., Handbook of nonconvex analysis and applications. Somerville, MA: International Press (ISBN 978-1-57146-200-8/hbk). 45-98 (2010). MSC: 35J87 34G25 35R70 47J20 47N20 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, in: Handbook of nonconvex analysis and applications. Somerville, MA: International Press. 45--98 (2010; Zbl 1387.35305)
Carl, Siegfried; Motreanu, Dumitru Sign-changing solutions for nonlinear elliptic problems depending on parameters. (English) Zbl 1207.35287 Int. J. Differ. Equ. 2010, Article ID 536236, 33 p. (2010). MSC: 35R70 35J25 35J66 35J92 35B51 35J20 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, Int. J. Differ. Equ. 2010, Article ID 536236, 33 p. (2010; Zbl 1207.35287) Full Text: DOI EuDML
Carl, Siegfried; Motreanu, Dumitru Multiple and sign-changing solutions for the multivalued \(p\)-Laplacian equation. (English) Zbl 1194.35522 Math. Nachr. 283, No. 7, 965-981 (2010). MSC: 35R70 35J20 35J60 49J40 49J52 35B51 47N20 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, Math. Nachr. 283, No. 7, 965--981 (2010; Zbl 1194.35522) Full Text: DOI
Carl, Siegfried; Motreanu, Dumitru Multiple solutions of nonlinear elliptic hemivariational problems. (English) Zbl 1352.35009 Pac. J. Appl. Math. 1, No. 4, 381-401 (2009). MSC: 35B30 35J60 47H04 49J40 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, Pac. J. Appl. Math. 1, No. 4, 381--401 (2009; Zbl 1352.35009)
Carl, Siegfried; Motreanu, Dumitru Comparison principle for quasilinear parabolic inclusions with Clarke’s gradient. (English) Zbl 1222.35049 Adv. Nonlinear Stud. 9, No. 1, 69-80 (2009). MSC: 35B51 35K86 47J20 35K59 47H04 47J35 35R70 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, Adv. Nonlinear Stud. 9, No. 1, 69--80 (2009; Zbl 1222.35049) Full Text: DOI
Carl, Siegfried The sub- and supersolution method for variational-hemivariational inequalities. (English) Zbl 1144.35391 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 3, 816-822 (2008). MSC: 35J85 35R70 47J20 49J20 PDFBibTeX XMLCite \textit{S. Carl}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 3, 816--822 (2008; Zbl 1144.35391) Full Text: DOI
Carl, Siegfried; Motreanu, Dumitru Constant-sign and sign-changing solutions for nonlinear eigenvalue problems. (English) Zbl 1138.35075 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 9, 2668-2676 (2008). MSC: 35P30 35J60 35J20 35B30 49J40 47J20 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 9, 2668--2676 (2008; Zbl 1138.35075) Full Text: DOI
Carl, Siegfried; Motreanu, Dumitru Constant-sign and sign-changing solutions of a nonlinear eigenvalue problem involving the \(p\)-Laplacian. (English) Zbl 1212.35109 Differ. Integral Equ. 20, No. 3, 309-324 (2007). MSC: 35J60 35J20 35P30 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, Differ. Integral Equ. 20, No. 3, 309--324 (2007; Zbl 1212.35109)
Carl, Siegfried; Motreanu, Dumitru Sign-changing and extremal constant-sign solutions of nonlinear elliptic problems with supercritical nonlinearities. (English) Zbl 1138.35012 Commun. Appl. Nonlinear Anal. 14, No. 4, 85-100 (2007). MSC: 35J60 35J20 35B30 35B33 49J40 47J20 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, Commun. Appl. Nonlinear Anal. 14, No. 4, 85--100 (2007; Zbl 1138.35012)
Carl, Siegfried; Le, Vy. K. Existence results for hemivariational inequalities with measures. (English) Zbl 1197.35102 Appl. Anal. 86, No. 6, 735-753 (2007). MSC: 35J60 49J40 PDFBibTeX XMLCite \textit{S. Carl} and \textit{Vy. K. Le}, Appl. Anal. 86, No. 6, 735--753 (2007; Zbl 1197.35102) Full Text: DOI
Carl, Siegfried; Le, Vy Khoi; Motreanu, Dumitru Nonsmooth variational problems and their inequalities. Comparison principles and applications. (English) Zbl 1109.35004 Springer Monographs in Mathematics. New York, NY: Springer (ISBN 978-0-387-30653-7/hbk; 978-0-387-46252-3/ebook). xi, 395 p. (2007). Reviewer: Alexander G. Ramm (Manhattan) MSC: 35-02 35B05 35J85 35K85 47J20 PDFBibTeX XMLCite \textit{S. Carl} et al., Nonsmooth variational problems and their inequalities. Comparison principles and applications. New York, NY: Springer (2007; Zbl 1109.35004)
Carl, S.; Motreanu, D. Quasilinear elliptic inclusions of Clarke’s gradient type under local growth conditions. (English) Zbl 1156.35494 Appl. Anal. 85, No. 12, 1527-1540 (2006). MSC: 35R70 49J52 49J53 46N20 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, Appl. Anal. 85, No. 12, 1527--1540 (2006; Zbl 1156.35494) Full Text: DOI
Carl, S.; Heikkilä, S. Existence results for nonlocal and nonsmooth hemivariational inequalities. (English) Zbl 1155.35049 J. Inequal. Appl. 2006, Article ID 79532, 13 p. (2006). Reviewer: Maria Agostina Vivaldi (Roma) MSC: 35J85 35J60 49J40 47J20 PDFBibTeX XMLCite \textit{S. Carl} and \textit{S. Heikkilä}, J. Inequal. Appl. 2006, Article ID 79532, 13 p. (2006; Zbl 1155.35049) Full Text: DOI EuDML
Carl, S.; Le, Vy K.; Motreanu, D. The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities. (English) Zbl 1164.35301 Differ. Integral Equ. 17, No. 1-2, 165-178 (2004). MSC: 35A15 35B05 35J20 49J52 PDFBibTeX XMLCite \textit{S. Carl} et al., Differ. Integral Equ. 17, No. 1--2, 165--178 (2004; Zbl 1164.35301)
Carl, S.; Motreanu, D. Extremality in solving general quasilinear parabolic inclusions. (English) Zbl 1069.35028 J. Optimization Theory Appl. 123, No. 3, 463-477 (2004). Reviewer: Maria Agostina Vivaldi (Roma) MSC: 35K55 35K85 35R70 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, J. Optim. Theory Appl. 123, No. 3, 463--477 (2004; Zbl 1069.35028) Full Text: DOI
Carl, S.; Jerome, J. W. Drift-diffusion in electrochemistry: thresholds for boundary flux and discontinuous optical generation. (English) Zbl 1066.35012 Appl. Anal. 83, No. 9, 915-931 (2004). MSC: 35B05 35J55 35R05 49J40 82D37 92E99 PDFBibTeX XMLCite \textit{S. Carl} and \textit{J. W. Jerome}, Appl. Anal. 83, No. 9, 915--931 (2004; Zbl 1066.35012) Full Text: DOI
Carl, Siegfried; Le, Vy K.; Motreanu, Dumitru Existence and comparison results for quasilinear evolution hemivariational inequalities. (English) Zbl 1053.49005 Electron. J. Differ. Equ. 2004, Paper No. 57, 17 p. (2004). Reviewer: Leszek Gasiński (Kraków) MSC: 49J40 35K85 35A15 PDFBibTeX XMLCite \textit{S. Carl} et al., Electron. J. Differ. Equ. 2004, Paper No. 57, 17 p. (2004; Zbl 1053.49005) Full Text: EuDML EMIS
Carl, S.; Le, Vy K. Sub-supersolution method for quasilinear parabolic variational inequalities. (English) Zbl 1044.49003 J. Math. Anal. Appl. 293, No. 1, 269-284 (2004). MSC: 49J40 35K85 PDFBibTeX XMLCite \textit{S. Carl} and \textit{V. K. Le}, J. Math. Anal. Appl. 293, No. 1, 269--284 (2004; Zbl 1044.49003) Full Text: DOI
Carl, Siegfried Existence and compactness results for quasilinear elliptic hemivariational inequalities. (English) Zbl 1277.35186 Agarwal, Ravi P. (ed.) et al., Nonlinear analysis and applications: To V. Lakshmikantham on his 80th birthday. Vol. 1. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1711-1/hbk; 1-4020-1688-3/set). 321-340 (2003). MSC: 35J87 35A15 35J20 47N20 49J40 PDFBibTeX XMLCite \textit{S. Carl}, in: Nonlinear analysis and applications: To V. Lakshmikantham on his 80th birthday. Vol. 1. Dordrecht: Kluwer Academic Publishers. 321--340 (2003; Zbl 1277.35186)
Carl, Siegfried; Motreanu, Dumitru Extremal solutions of quasilinear parabolic subdifferential inclusions. (English) Zbl 1036.35112 Differ. Integral Equ. 16, No. 2, 241-255 (2003). Reviewer: Leszek Gasiński (Kraków) MSC: 35K85 34G25 35B05 35K60 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, Differ. Integral Equ. 16, No. 2, 241--255 (2003; Zbl 1036.35112)
Carl, S.; Motreanu, D. Quasilinear elliptic inclusions of hemivariational type: extremality and compactness of the solution set. (English) Zbl 1160.35552 J. Math. Anal. Appl. 286, No. 1, 147-159 (2003). MSC: 35R70 35J60 35J85 47H07 47J20 49J52 49K24 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, J. Math. Anal. Appl. 286, No. 1, 147--159 (2003; Zbl 1160.35552) Full Text: DOI
Carl, S.; Heikkilä, S.; Jerome, J. W. Trapping regions for discontinuously coupled systems of evolution variational inequalities and application. (English) Zbl 1026.35058 J. Math. Anal. Appl. 282, No. 1, 421-435 (2003). Reviewer: Leszek Gasiński (Kraków) MSC: 35K85 35K20 35K55 PDFBibTeX XMLCite \textit{S. Carl} et al., J. Math. Anal. Appl. 282, No. 1, 421--435 (2003; Zbl 1026.35058) Full Text: DOI
Carl, S.; Heikkilä, S. Elliptic problems with lack of compactness via a new fixed point theorem. (English) Zbl 1508.35010 J. Differ. Equations 186, No. 1, 122-140 (2002). MSC: 35J20 35J60 47H10 47N20 PDFBibTeX XMLCite \textit{S. Carl} and \textit{S. Heikkilä}, J. Differ. Equations 186, No. 1, 122--140 (2002; Zbl 1508.35010) Full Text: DOI
Carl, Siegfried; Perera, Kanishka Sign-changing and multiple solutions for the \(p\)-Laplacian. (English) Zbl 1106.35308 Abstr. Appl. Anal. 7, No. 12, 613-625 (2002). MSC: 35J65 35J20 35B05 PDFBibTeX XMLCite \textit{S. Carl} and \textit{K. Perera}, Abstr. Appl. Anal. 7, No. 12, 613--625 (2002; Zbl 1106.35308) Full Text: DOI EuDML
Carl, Siegfried; Jerome, Joseph W. Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type. (English) Zbl 1290.35140 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 51, No. 5, 843-863 (2002). MSC: 35K55 49J40 PDFBibTeX XMLCite \textit{S. Carl} and \textit{J. W. Jerome}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 51, No. 5, 843--863 (2002; Zbl 1290.35140) Full Text: DOI
Carl, Siegfried; Gilbert, R. P. Extremal solutions of a class of dynamic boundary hemivariational inequalities. (English) Zbl 1012.35052 J. Inequal. Appl. 7, No. 4, 479-502 (2002). Reviewer: Jong Yeoul Park (Pusan) MSC: 35K85 35K60 35B05 49J52 PDFBibTeX XMLCite \textit{S. Carl} and \textit{R. P. Gilbert}, J. Inequal. Appl. 7, No. 4, 479--502 (2002; Zbl 1012.35052) Full Text: DOI
Carl, Siegfried Extremal solutions of parabolic hemivariational inequalities. (English) Zbl 1042.35585 Nonlinear Anal., Theory Methods Appl. 47, No. 8, 5077-5088 (2001). MSC: 35K85 49J40 PDFBibTeX XMLCite \textit{S. Carl}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 47, No. 8, 5077--5088 (2001; Zbl 1042.35585) Full Text: DOI
Carl, Siegfried A survey of recent results on the enclosure and extremality of solutions for quasilinear hemivariational inequalities. (English) Zbl 1058.35134 Gilbert, Robert P. (ed.) et al., From convexity to nonconvexity. Dedicated to the memory of Gaetano Fichera. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-7144-5/hbk). Nonconvex Optim. Appl. 55, 15-28 (2001). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35K85 49J40 47J20 PDFBibTeX XMLCite \textit{S. Carl}, Nonconvex Optim. Appl. 55, 15--28 (2001; Zbl 1058.35134)
Carl, S. Existence of extremal solutions of boundary hemivariational inequalities. (English) Zbl 1180.35255 J. Differ. Equations 171, No. 2, 370-396 (2001). Reviewer: Vesa Mustonen (Oulu) (MR1818654) MSC: 35J87 47J20 49J40 PDFBibTeX XMLCite \textit{S. Carl}, J. Differ. Equations 171, No. 2, 370--396 (2001; Zbl 1180.35255) Full Text: DOI
Carl, S. Extremal solutions for quasilinear elliptic inclusions in all of \(\mathbb{R}^N\) with state-dependent subdifferentials. (English) Zbl 0970.47034 J. Optimization Theory Appl. 104, No. 2, 323-342 (2000). Reviewer: Jürgen Appell (Würzburg) MSC: 47H04 47J05 47F05 49J53 PDFBibTeX XMLCite \textit{S. Carl}, J. Optim. Theory Appl. 104, No. 2, 323--342 (2000; Zbl 0970.47034) Full Text: DOI
Carl, Siegfried An existence result for a class of parabolic hemivariational inequalities. (English) Zbl 0873.35045 Ladde, G. S. (ed.) et al., Dynamic systems and applications. Vol. 2. Proceedings of the 2nd international conference, Morehouse College, Atlanta, GA, USA, May 24–27, 1995. Atlanta, GA: Dynamic Publishers. 91-98 (1996). Reviewer: M.Kučera (Praha) MSC: 35K85 35R70 35K60 49J40 PDFBibTeX XMLCite \textit{S. Carl}, in: Dynamic systems and applications. Vol. 2. Proceedings of the 2nd international conference, Morehouse College, Atlanta, GA, USA, May 24--27, 1995. Atlanta, GA: Dynamic Publishers. 91--98 (1996; Zbl 0873.35045)
Carl, S.; Grossmann, Ch.; Pao, C. V. Existence and monotone iterations for parabolic differential inclusions. (English) Zbl 0857.35074 Commun. Appl. Nonlinear Anal. 3, No. 1, 1-24 (1996). MSC: 35K85 35R70 35K57 35R05 65M60 PDFBibTeX XMLCite \textit{S. Carl} et al., Commun. Appl. Nonlinear Anal. 3, No. 1, 1--24 (1996; Zbl 0857.35074)
Carl, Siegfried An envelope theorem for weak solutions of quasilinear elliptic boundary value problems. (English) Zbl 0844.35006 Lakshmikantham, V. (ed.), World congress of nonlinear analysts ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 869-877 (1996). MSC: 35B05 35J65 35J20 PDFBibTeX XMLCite \textit{S. Carl}, in: World congress of nonlinear analysts '92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 869--877 (1996; Zbl 0844.35006)
Carl, Siegfried Leray-Lions operators perturbed by state-dependent subdifferentials. (English) Zbl 0892.35060 Nonlinear World 3, No. 3, 505-518 (1996). MSC: 35J65 35R70 35B05 49J40 PDFBibTeX XMLCite \textit{S. Carl}, Nonlinear World 3, No. 3, 505--518 (1996; Zbl 0892.35060)
Carl, Siegfried Enclosure of solutions for quasilinear dynamic hemivariational inequalities. (English) Zbl 0902.35065 Nonlinear World 3, No. 3, 281-298 (1996). Reviewer: V.Mustonen (Oulu) MSC: 35K85 49J40 35K60 35R70 PDFBibTeX XMLCite \textit{S. Carl}, Nonlinear World 3, No. 3, 281--298 (1996; Zbl 0902.35065)
Carl, Siegfried Enclosure of solutions for elliptic boundary value problems with nonmonotone discontinuous nonlinearity. (English) Zbl 0807.35038 Kowalski, Jan Krzysztof (ed.) et al., Numerical analysis and mathematical modelling. Warszawa: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 29, 105-114 (1994). Reviewer: J.Appell (Würzburg) MSC: 35J65 35J20 35R05 PDFBibTeX XMLCite \textit{S. Carl}, Banach Cent. Publ. 29, 105--114 (1994; Zbl 0807.35038)
Carl, Siegfried; Heikkilä, Seppo An existence result for elliptic differential inclusions with discontinuous nonlinearity. (English) Zbl 0755.35039 Nonlinear Anal., Theory Methods Appl. 18, No. 5, 471-479 (1992). Reviewer: St.Tersian (Russe) MSC: 35J65 35J85 PDFBibTeX XMLCite \textit{S. Carl} and \textit{S. Heikkilä}, Nonlinear Anal., Theory Methods Appl. 18, No. 5, 471--479 (1992; Zbl 0755.35039) Full Text: DOI
Carl, Siegfried A combined variational-monotone iterative method for elliptic boundary value problems with discontinuous nonlinearity. (English) Zbl 0713.35032 Appl. Anal. 43, No. 1-2, 21-46 (1992). Reviewer: S.Carl MSC: 35J65 35J85 47H05 35R05 PDFBibTeX XMLCite \textit{S. Carl}, Appl. Anal. 43, No. 1--2, 21--46 (1992; Zbl 0713.35032) Full Text: DOI