## Mustonen, Vesa

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 0643.49006
Gossez, Jean-Pierre; Mustonen, Vesa
1987
Monotonicity methods for nonlinear evolution equations. Zbl 0894.34055
Berkovits, Juha; Mustonen, Vesa
1996
A strongly nonlinear parabolic initial boundary value problem. Zbl 0697.35071
Landes, Rüdiger; Mustonen, Vesa
1987
On parabolic initial-boundary value problems with critical growth for the gradient. Zbl 0836.35078
Landes, Rüdiger; Mustonen, Vesa
1994
Topological degree for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems. Zbl 0806.47055
Berkovits, J.; Mustonen, V.
1992
On the topological degree for mappings of monotone type. Zbl 0605.47060
Berkovits, Juha; Mustonen, Vesa
1986
On monotone-like mappings in Orlicz-Sobolev spaces. Zbl 0940.47042
Mustonen, Vesa; Tienari, Matti
1999
An extension of Leray-Schauder degree and applications to nonlinear wave equations. Zbl 0724.47024
Berkovits, Juha; Mustonen, Vesa
1990
An eigenvalue problem for generalized Laplacian in Orlicz-Sobolev spaces. Zbl 0926.46030
Mustonen, Vesa; Tienari, Matti
1999
On pseudo-monotone operators and nonlinear noncoercive variational problems on unbounded domains. Zbl 0416.35072
Landes, Rüdiger; Mustonen, Vesa
1980
Pseudo-monotonicity and degenerated or singular elliptic operators. Zbl 0913.35051
Drábek, P.; Kufner, A.; Mustonen, V.
1998
Time-periodic oscillations in suspension bridges: Existence of unique solutions. Zbl 0989.74031
Berkovits, J.; Drábek, P.; Leinfelder, H.; Mustonen, V.; Tajčová, G.
2000
Pseudo-monotone mappings in Sobolev-Orlicz spaces and nonlinear boundary value problems on unbounded domains. Zbl 0492.35015
Landes, Ruediger; Mustonen, Vesa
1982
Pseudo-monotonicity and the Leray-Lions condition. Zbl 0786.35055
Gossez, Jean-Pierre; Mustonen, Vesa
1993
On nonresonance for systems of semilinear wave equations. Zbl 0887.35013
Berkovits, Juha; Mustonen, Vesa
1997
On multiple solutions for a class of semilinear wave equations. Zbl 0729.35081
Berkovits, Juha; Mustonen, Vesa
1991
An elliptic boundary value problem for strongly non-linear equations in unbounded domains. Zbl 0391.35032
Mustonen, Vesa
1977
An application of the topological degree theory for semilinear equations with strongly monotone nonlinearities. Zbl 0762.35080
Berkovits, Juha; Mustonen, Vesa
1991
On the existence of multiple solutions for semilinear equations with monotone nonlinearities crossing a finite number of eigenvalues. Zbl 0757.35002
Berkovits, Juha; Mustonen, Vesa
1991
On the existence and uniqueness of solutions for strongly nonlinear elliptic variational problems. Zbl 0513.35033
1981
On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain. Zbl 1004.35091
Mustonen, Vesa; Pohožaev, Stanislav
1998
Systems of wave equations: matrix spectrum and nonresonance. Zbl 0965.47049
Berkovits, Juha; Mustonen, Vesa; Tienari, Matti
2000
Boundary value problems for strongly nonlinear second order elliptic equations. Zbl 0574.35034
Landes, Rüdiger; Mustonen, Vésa
1985
Unilateral obstacle problem for strongly nonlinear second order elliptic operators. Zbl 0601.35045
Landes, Rüdiger; Mustonen, Vesa
1986
Existence and multiplicity results for semilinear beam equations. Zbl 0811.35014
Berkovits, J.; Mustonen, V.
1991
Quasimonotonicity and the Leray-Lions condition. Zbl 0857.35039
Mustonen, V.
1996
Existence and multiplicity results for wave equations with time-independent nonlinearity. Zbl 1047.35100
Berkovits, Juha; Leinfelder, Herbert; Mustonen, Vesa
2003
A remark on the Leray-Lions condition. Zbl 1181.35048
Mustonen, Vesa; Tienari, Matti
2002
A class of strongly nonlinear variational inequalities. Zbl 0392.35022
Mustonen, Vesa
1978
A class of strongly nonlinear variational inequalities in unbounded domains. Zbl 0393.35023
Mustonen, Vesa
1979
Mappings of monotone type and nonlinear obstacle problem. Zbl 0575.35024
Mustonen, Vesa
1984
Strongly nonlinear elliptic variational inequalities in unbounded domains. Zbl 0374.35018
Mustonen, Vesa
1977
On the asymptotic bifurcation for a class of wave equations with sublinear nonlinearity. Zbl 0828.35078
Berkovits, J.; Mustonen, V.
1992
On semilinear wave equations at resonance. Zbl 0856.35007
Berkovits, Juha; Mustonen, Vesa
1996
Existence results for semilinear equations with normal linear part and applications to telegraph equations. Zbl 0857.35012
Berkovits, J.; Mustonen, V.
1996
Remarks on inhomogeneous elliptic eigenvalue problems. Zbl 1142.35538
Mustonen, Vesa; Tienari, Matti
2002
Existence and multiplicity results for wave equations with time-independent nonlinearity. Zbl 1047.35100
Berkovits, Juha; Leinfelder, Herbert; Mustonen, Vesa
2003
A remark on the Leray-Lions condition. Zbl 1181.35048
Mustonen, Vesa; Tienari, Matti
2002
Remarks on inhomogeneous elliptic eigenvalue problems. Zbl 1142.35538
Mustonen, Vesa; Tienari, Matti
2002
Time-periodic oscillations in suspension bridges: Existence of unique solutions. Zbl 0989.74031
Berkovits, J.; Drábek, P.; Leinfelder, H.; Mustonen, V.; Tajčová, G.
2000
Systems of wave equations: matrix spectrum and nonresonance. Zbl 0965.47049
Berkovits, Juha; Mustonen, Vesa; Tienari, Matti
2000
On monotone-like mappings in Orlicz-Sobolev spaces. Zbl 0940.47042
Mustonen, Vesa; Tienari, Matti
1999
An eigenvalue problem for generalized Laplacian in Orlicz-Sobolev spaces. Zbl 0926.46030
Mustonen, Vesa; Tienari, Matti
1999
Pseudo-monotonicity and degenerated or singular elliptic operators. Zbl 0913.35051
Drábek, P.; Kufner, A.; Mustonen, V.
1998
On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain. Zbl 1004.35091
Mustonen, Vesa; Pohožaev, Stanislav
1998
On nonresonance for systems of semilinear wave equations. Zbl 0887.35013
Berkovits, Juha; Mustonen, Vesa
1997
Monotonicity methods for nonlinear evolution equations. Zbl 0894.34055
Berkovits, Juha; Mustonen, Vesa
1996
Quasimonotonicity and the Leray-Lions condition. Zbl 0857.35039
Mustonen, V.
1996
On semilinear wave equations at resonance. Zbl 0856.35007
Berkovits, Juha; Mustonen, Vesa
1996
Existence results for semilinear equations with normal linear part and applications to telegraph equations. Zbl 0857.35012
Berkovits, J.; Mustonen, V.
1996
On parabolic initial-boundary value problems with critical growth for the gradient. Zbl 0836.35078
Landes, Rüdiger; Mustonen, Vesa
1994
Pseudo-monotonicity and the Leray-Lions condition. Zbl 0786.35055
Gossez, Jean-Pierre; Mustonen, Vesa
1993
Topological degree for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems. Zbl 0806.47055
Berkovits, J.; Mustonen, V.
1992
On the asymptotic bifurcation for a class of wave equations with sublinear nonlinearity. Zbl 0828.35078
Berkovits, J.; Mustonen, V.
1992
On multiple solutions for a class of semilinear wave equations. Zbl 0729.35081
Berkovits, Juha; Mustonen, Vesa
1991
An application of the topological degree theory for semilinear equations with strongly monotone nonlinearities. Zbl 0762.35080
Berkovits, Juha; Mustonen, Vesa
1991
On the existence of multiple solutions for semilinear equations with monotone nonlinearities crossing a finite number of eigenvalues. Zbl 0757.35002
Berkovits, Juha; Mustonen, Vesa
1991
Existence and multiplicity results for semilinear beam equations. Zbl 0811.35014
Berkovits, J.; Mustonen, V.
1991
An extension of Leray-Schauder degree and applications to nonlinear wave equations. Zbl 0724.47024
Berkovits, Juha; Mustonen, Vesa
1990
Variational inequalities in Orlicz-Sobolev spaces. Zbl 0643.49006
Gossez, Jean-Pierre; Mustonen, Vesa
1987
A strongly nonlinear parabolic initial boundary value problem. Zbl 0697.35071
Landes, Rüdiger; Mustonen, Vesa
1987
On the topological degree for mappings of monotone type. Zbl 0605.47060
Berkovits, Juha; Mustonen, Vesa
1986
Unilateral obstacle problem for strongly nonlinear second order elliptic operators. Zbl 0601.35045
Landes, Rüdiger; Mustonen, Vesa
1986
Boundary value problems for strongly nonlinear second order elliptic equations. Zbl 0574.35034
Landes, Rüdiger; Mustonen, Vésa
1985
Mappings of monotone type and nonlinear obstacle problem. Zbl 0575.35024
Mustonen, Vesa
1984
Pseudo-monotone mappings in Sobolev-Orlicz spaces and nonlinear boundary value problems on unbounded domains. Zbl 0492.35015
Landes, Ruediger; Mustonen, Vesa
1982
On the existence and uniqueness of solutions for strongly nonlinear elliptic variational problems. Zbl 0513.35033
1981
On pseudo-monotone operators and nonlinear noncoercive variational problems on unbounded domains. Zbl 0416.35072
Landes, Rüdiger; Mustonen, Vesa
1980
A class of strongly nonlinear variational inequalities in unbounded domains. Zbl 0393.35023
Mustonen, Vesa
1979
A class of strongly nonlinear variational inequalities. Zbl 0392.35022
Mustonen, Vesa
1978
An elliptic boundary value problem for strongly non-linear equations in unbounded domains. Zbl 0391.35032
Mustonen, Vesa
1977
Strongly nonlinear elliptic variational inequalities in unbounded domains. Zbl 0374.35018
Mustonen, Vesa
1977
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### 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
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### 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
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### 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)