Edit Profile (opens in new tab) Mustonen, Vesa Compute Distance To: Compute Author ID: mustonen.vesa Published as: Mustonen, Vesa; Mustonen, V.; Mustonen, Vésa more...less Documents Indexed: 52 Publications since 1973 1 Contribution as Editor Reviewing Activity: 186 Reviews Co-Authors: 14 Co-Authors with 39 Joint Publications 314 Co-Co-Authors all top 5 Co-Authors 14 single-authored 21 Berkovits, Juha 6 Landes, Rüdiger 5 Tienari, Matti 3 Leinfelder, Herbert 2 Drábek, Pavel 2 Gossez, Jean-Pierre 1 Arhippainen, Jorma 1 Edmunds, David Eric 1 Kortelainen, Juha 1 Kufner, Alois 1 Pokhozhaev, Stanislav I. 1 Rákosník, Jiří 1 Simader, Christian Georg 1 Tajčová, Gabriela all top 5 Serials 6 Nonlinear Analysis. Theory, Methods & Applications 3 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 3 Differential and Integral Equations 2 Journal of the London Mathematical Society. Second Series 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Arkhimedes 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Arkiv för Matematik 1 Bulletin of the London Mathematical Society 1 Mathematische Annalen 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Mathematica Bohemica 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Topological Methods in Nonlinear Analysis 1 Bayreuther Mathematische Schriften 1 Zagadnienia Drgań Nieliniowych 1 Abstract and Applied Analysis 1 Nonlinear Analysis. Real World Applications all top 5 Fields 45 Partial differential equations (35-XX) 32 Operator theory (47-XX) 9 Functional analysis (46-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Algebraic topology (55-XX) 3 Mechanics of deformable solids (74-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 362 times in 291 Documents Cited by ▼ Year ▼ Variational inequalities in Orlicz-Sobolev spaces. Zbl 0643.49006Gossez, Jean-Pierre; Mustonen, Vesa 60 1987 Monotonicity methods for nonlinear evolution equations. Zbl 0894.34055Berkovits, Juha; Mustonen, Vesa 31 1996 A strongly nonlinear parabolic initial boundary value problem. Zbl 0697.35071Landes, Rüdiger; Mustonen, Vesa 28 1987 On parabolic initial-boundary value problems with critical growth for the gradient. Zbl 0836.35078Landes, Rüdiger; Mustonen, Vesa 27 1994 Topological degree for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems. Zbl 0806.47055Berkovits, J.; Mustonen, V. 26 1992 On the topological degree for mappings of monotone type. Zbl 0605.47060Berkovits, Juha; Mustonen, Vesa 25 1986 On monotone-like mappings in Orlicz-Sobolev spaces. Zbl 0940.47042Mustonen, Vesa; Tienari, Matti 19 1999 An extension of Leray-Schauder degree and applications to nonlinear wave equations. Zbl 0724.47024Berkovits, Juha; Mustonen, Vesa 18 1990 An eigenvalue problem for generalized Laplacian in Orlicz-Sobolev spaces. Zbl 0926.46030Mustonen, Vesa; Tienari, Matti 18 1999 On pseudo-monotone operators and nonlinear noncoercive variational problems on unbounded domains. Zbl 0416.35072Landes, Rüdiger; Mustonen, Vesa 15 1980 Pseudo-monotonicity and degenerated or singular elliptic operators. Zbl 0913.35051Drábek, P.; Kufner, A.; Mustonen, V. 13 1998 Time-periodic oscillations in suspension bridges: Existence of unique solutions. Zbl 0989.74031Berkovits, J.; Drábek, P.; Leinfelder, H.; Mustonen, V.; Tajčová, G. 12 2000 Pseudo-monotone mappings in Sobolev-Orlicz spaces and nonlinear boundary value problems on unbounded domains. Zbl 0492.35015Landes, Ruediger; Mustonen, Vesa 10 1982 Pseudo-monotonicity and the Leray-Lions condition. Zbl 0786.35055Gossez, Jean-Pierre; Mustonen, Vesa 8 1993 On nonresonance for systems of semilinear wave equations. Zbl 0887.35013Berkovits, Juha; Mustonen, Vesa 8 1997 On multiple solutions for a class of semilinear wave equations. Zbl 0729.35081Berkovits, Juha; Mustonen, Vesa 5 1991 An elliptic boundary value problem for strongly non-linear equations in unbounded domains. Zbl 0391.35032Mustonen, Vesa 4 1977 An application of the topological degree theory for semilinear equations with strongly monotone nonlinearities. Zbl 0762.35080Berkovits, Juha; Mustonen, Vesa 3 1991 On the existence of multiple solutions for semilinear equations with monotone nonlinearities crossing a finite number of eigenvalues. Zbl 0757.35002Berkovits, Juha; Mustonen, Vesa 3 1991 On the existence and uniqueness of solutions for strongly nonlinear elliptic variational problems. Zbl 0513.35033Mustonen, Vesa; Simader, Christian G. 3 1981 On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain. Zbl 1004.35091Mustonen, Vesa; Pohožaev, Stanislav 3 1998 Systems of wave equations: matrix spectrum and nonresonance. Zbl 0965.47049Berkovits, Juha; Mustonen, Vesa; Tienari, Matti 3 2000 Boundary value problems for strongly nonlinear second order elliptic equations. Zbl 0574.35034Landes, Rüdiger; Mustonen, Vésa 2 1985 Unilateral obstacle problem for strongly nonlinear second order elliptic operators. Zbl 0601.35045Landes, Rüdiger; Mustonen, Vesa 2 1986 Existence and multiplicity results for semilinear beam equations. Zbl 0811.35014Berkovits, J.; Mustonen, V. 2 1991 Quasimonotonicity and the Leray-Lions condition. Zbl 0857.35039Mustonen, V. 2 1996 Existence and multiplicity results for wave equations with time-independent nonlinearity. Zbl 1047.35100Berkovits, Juha; Leinfelder, Herbert; Mustonen, Vesa 2 2003 A remark on the Leray-Lions condition. Zbl 1181.35048Mustonen, Vesa; Tienari, Matti 2 2002 A class of strongly nonlinear variational inequalities. Zbl 0392.35022Mustonen, Vesa 1 1978 A class of strongly nonlinear variational inequalities in unbounded domains. Zbl 0393.35023Mustonen, Vesa 1 1979 Mappings of monotone type and nonlinear obstacle problem. Zbl 0575.35024Mustonen, Vesa 1 1984 Strongly nonlinear elliptic variational inequalities in unbounded domains. Zbl 0374.35018Mustonen, Vesa 1 1977 On the asymptotic bifurcation for a class of wave equations with sublinear nonlinearity. Zbl 0828.35078Berkovits, J.; Mustonen, V. 1 1992 On semilinear wave equations at resonance. Zbl 0856.35007Berkovits, Juha; Mustonen, Vesa 1 1996 Existence results for semilinear equations with normal linear part and applications to telegraph equations. Zbl 0857.35012Berkovits, J.; Mustonen, V. 1 1996 Remarks on inhomogeneous elliptic eigenvalue problems. Zbl 1142.35538Mustonen, Vesa; Tienari, Matti 1 2002 Existence and multiplicity results for wave equations with time-independent nonlinearity. Zbl 1047.35100Berkovits, Juha; Leinfelder, Herbert; Mustonen, Vesa 2 2003 A remark on the Leray-Lions condition. Zbl 1181.35048Mustonen, Vesa; Tienari, Matti 2 2002 Remarks on inhomogeneous elliptic eigenvalue problems. Zbl 1142.35538Mustonen, Vesa; Tienari, Matti 1 2002 Time-periodic oscillations in suspension bridges: Existence of unique solutions. Zbl 0989.74031Berkovits, J.; Drábek, P.; Leinfelder, H.; Mustonen, V.; Tajčová, G. 12 2000 Systems of wave equations: matrix spectrum and nonresonance. Zbl 0965.47049Berkovits, Juha; Mustonen, Vesa; Tienari, Matti 3 2000 On monotone-like mappings in Orlicz-Sobolev spaces. Zbl 0940.47042Mustonen, Vesa; Tienari, Matti 19 1999 An eigenvalue problem for generalized Laplacian in Orlicz-Sobolev spaces. Zbl 0926.46030Mustonen, Vesa; Tienari, Matti 18 1999 Pseudo-monotonicity and degenerated or singular elliptic operators. Zbl 0913.35051Drábek, P.; Kufner, A.; Mustonen, V. 13 1998 On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain. Zbl 1004.35091Mustonen, Vesa; Pohožaev, Stanislav 3 1998 On nonresonance for systems of semilinear wave equations. Zbl 0887.35013Berkovits, Juha; Mustonen, Vesa 8 1997 Monotonicity methods for nonlinear evolution equations. Zbl 0894.34055Berkovits, Juha; Mustonen, Vesa 31 1996 Quasimonotonicity and the Leray-Lions condition. Zbl 0857.35039Mustonen, V. 2 1996 On semilinear wave equations at resonance. Zbl 0856.35007Berkovits, Juha; Mustonen, Vesa 1 1996 Existence results for semilinear equations with normal linear part and applications to telegraph equations. Zbl 0857.35012Berkovits, J.; Mustonen, V. 1 1996 On parabolic initial-boundary value problems with critical growth for the gradient. Zbl 0836.35078Landes, Rüdiger; Mustonen, Vesa 27 1994 Pseudo-monotonicity and the Leray-Lions condition. Zbl 0786.35055Gossez, Jean-Pierre; Mustonen, Vesa 8 1993 Topological degree for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems. Zbl 0806.47055Berkovits, J.; Mustonen, V. 26 1992 On the asymptotic bifurcation for a class of wave equations with sublinear nonlinearity. Zbl 0828.35078Berkovits, J.; Mustonen, V. 1 1992 On multiple solutions for a class of semilinear wave equations. Zbl 0729.35081Berkovits, Juha; Mustonen, Vesa 5 1991 An application of the topological degree theory for semilinear equations with strongly monotone nonlinearities. Zbl 0762.35080Berkovits, Juha; Mustonen, Vesa 3 1991 On the existence of multiple solutions for semilinear equations with monotone nonlinearities crossing a finite number of eigenvalues. Zbl 0757.35002Berkovits, Juha; Mustonen, Vesa 3 1991 Existence and multiplicity results for semilinear beam equations. Zbl 0811.35014Berkovits, J.; Mustonen, V. 2 1991 An extension of Leray-Schauder degree and applications to nonlinear wave equations. Zbl 0724.47024Berkovits, Juha; Mustonen, Vesa 18 1990 Variational inequalities in Orlicz-Sobolev spaces. Zbl 0643.49006Gossez, Jean-Pierre; Mustonen, Vesa 60 1987 A strongly nonlinear parabolic initial boundary value problem. Zbl 0697.35071Landes, Rüdiger; Mustonen, Vesa 28 1987 On the topological degree for mappings of monotone type. Zbl 0605.47060Berkovits, Juha; Mustonen, Vesa 25 1986 Unilateral obstacle problem for strongly nonlinear second order elliptic operators. Zbl 0601.35045Landes, Rüdiger; Mustonen, Vesa 2 1986 Boundary value problems for strongly nonlinear second order elliptic equations. Zbl 0574.35034Landes, Rüdiger; Mustonen, Vésa 2 1985 Mappings of monotone type and nonlinear obstacle problem. Zbl 0575.35024Mustonen, Vesa 1 1984 Pseudo-monotone mappings in Sobolev-Orlicz spaces and nonlinear boundary value problems on unbounded domains. Zbl 0492.35015Landes, Ruediger; Mustonen, Vesa 10 1982 On the existence and uniqueness of solutions for strongly nonlinear elliptic variational problems. Zbl 0513.35033Mustonen, Vesa; Simader, Christian G. 3 1981 On pseudo-monotone operators and nonlinear noncoercive variational problems on unbounded domains. Zbl 0416.35072Landes, Rüdiger; Mustonen, Vesa 15 1980 A class of strongly nonlinear variational inequalities in unbounded domains. Zbl 0393.35023Mustonen, Vesa 1 1979 A class of strongly nonlinear variational inequalities. Zbl 0392.35022Mustonen, Vesa 1 1978 An elliptic boundary value problem for strongly non-linear equations in unbounded domains. Zbl 0391.35032Mustonen, Vesa 4 1977 Strongly nonlinear elliptic variational inequalities in unbounded domains. Zbl 0374.35018Mustonen, Vesa 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 286 Authors 22 Benkirane, Abdelmoujib 17 Azroul, Elhoussine 14 Rhoudaf, Mohamed 12 Berkovits, Juha 11 Mustonen, Vesa 10 Migórski, Stanisław 9 Chlebicka, Iwona 8 Carl, Siegfried 8 Le, Vy Khoi 7 Liu, Zhenhai 7 Meskine, Driss 7 Ochal, Anna 6 Bennouna, Jaouad 6 El Moumni, Mostafa 6 Gasiński, Leszek 6 Gwiazda, Piotr 6 Landes, Rüdiger 6 Moussa, Hassan 6 Zatorska-Goldstein, Anna 5 Aharouch, Lahsen 5 An, Yukun 5 Asfaw, Teffera M. 5 Elmahi, Abdelhak 5 Malík, Josef 5 Segura de León, Sergio 5 Simon, László 4 Ait Khellou, Mustafa 4 Akdim, Youssef 4 Allalou, Chakir 4 Balaadich, Farah 4 Boccardo, Lucio 4 Bourahma, Mohamed 4 Chen, Yuqing 4 Douiri, Sidi Mohamed 4 O’Regan, Donal 4 Orsina, Luigi 4 Peng, Zijia 4 Růžička, Michael 4 Sabiki, Hajar 4 Talha, Abdeslam 4 Wang, Fanglei 3 Abbassi, Adil 3 Ait Hammou, Mustapha 3 Alberico, Angela 3 Andreu, Fuensanta 3 Dall’Aglio, Andrea 3 Drábek, Pavel 3 El Haji, Badr 3 Fečkan, Michal 3 Gazzola, Filippo 3 Giachetti, Daniela 3 Hjiaj, Hassane 3 Hong, Suk-Joon 3 Huang, Nan-Jing 3 Kartsatos, Athanassios G. 3 Kbiri Alaoui, Mohammed 3 Kim, In-Sook 3 Miettinen, Markku 3 Papageorgiou, Nikolaos S. 3 Souissi, Ali 3 Tienari, Matti 3 Wróblewska-Kamińska, Aneta 3 Wróblewska, Aneta 3 Youssfi, Ahmed 2 Abdellaoui, Boumediene 2 Adhikari, Dhruba Raj 2 Barbara, Abdelkrim 2 Bocea, Marian F. 2 Cardin, Franco 2 Chabrowski, Jan H. 2 Challal, Samia 2 Chang, Shih-Sen 2 Chrif, Moussa 2 Cianchi, Andrea 2 Di Blasio, Giuseppina 2 Dong, Ge 2 Dzhokhadze, Otar Mikhajlovich 2 El Hadfi, Youssef 2 El Manouni, Said 2 El Ouaarabi, Mohamed 2 Elarabi, Rabab 2 Feo, Filomena 2 Fiacca, Antonella 2 Giannetti, Flavia 2 Gratie, Liliana 2 Ha, Tae Gab 2 Holubová, Gabriela 2 Kałamajska, Agnieszka 2 Kaltenbach, Alex 2 Kassidi, Abderrazak 2 Kharibegashvili, S. S. 2 Krbec, Miroslav 2 Lahmi, Badr 2 Lovison, Alberto 2 Lyaghfouri, Abdeslem 2 Mihăilescu, Mihai 2 Motreanu, Dumitru 2 Mounir, Ilham 2 Park, Jong Yeoul 2 Peral Alonso, Ireneo ...and 186 more Authors all top 5 Cited in 118 Serials 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Journal of Mathematical Analysis and Applications 17 Journal of Differential Equations 15 Nonlinear Analysis. Theory, Methods & Applications 7 Journal of Elliptic and Parabolic Equations 6 Applicable Analysis 6 Applications of Mathematics 5 Applied Mathematics Letters 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Ricerche di Matematica 4 Boundary Value Problems 3 Mathematical Methods in the Applied Sciences 3 Periodica Mathematica Hungarica 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Applied Mathematics and Computation 3 Journal of Optimization Theory and Applications 3 Monatshefte für Mathematik 3 Proceedings of the American Mathematical Society 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Applied Mathematics and Mechanics. (English Edition) 3 Chinese Annals of Mathematics. Series B 3 Acta Mathematica Hungarica 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Optimization 3 Mathematical and Computer Modelling 3 Abstract and Applied Analysis 3 Acta Mathematica Sinica. English Series 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Mediterranean Journal of Mathematics 3 S\(\vec{\text{e}}\)MA Journal 2 Israel Journal of Mathematics 2 Advances in Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Optimization 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Numerical Functional Analysis and Optimization 2 Transactions of the American Mathematical Society 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of Global Optimization 2 Calculus of Variations and Partial Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Advanced Nonlinear Studies 2 Analysis and Applications (Singapore) 2 Complex Variables and Elliptic Equations 2 Proyecciones 2 Analysis and Mathematical Physics 2 Afrika Matematika 2 Journal of Function Spaces 2 Khayyam Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Le Matematiche 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Revista Colombiana de Matemáticas 1 SIAM Journal on Numerical Analysis 1 Siberian Mathematical Journal 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Bulletin of the Iranian Mathematical Society 1 Journal of Integral Equations and Applications 1 Mathematica Bohemica 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Acta Mathematica Sinica. New Series 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Potential Analysis 1 Applicationes Mathematicae 1 St. Petersburg Mathematical Journal 1 Annales Mathématiques Blaise Pascal 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Mathematics and Mechanics of Solids 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Revista Matemática Complutense 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Journal of Nonlinear and Convex Analysis 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations ...and 18 more Serials all top 5 Cited in 22 Fields 238 Partial differential equations (35-XX) 82 Operator theory (47-XX) 56 Functional analysis (46-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 20 Mechanics of deformable solids (74-XX) 19 Ordinary differential equations (34-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 5 Algebraic topology (55-XX) 4 Real functions (26-XX) 3 Potential theory (31-XX) 2 History and biography (01-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year