Quasilinear degenerated equations with datum and without coercivity in perturbation terms.
Aharouch, L., Azroul, E., Benkirane, A. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Motreanu, Dumitru, Tarfulea, Nicolae (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Apushkinskaya, Darya E., Nazarov, Alexander I. (2002)
Equadiff 10
Michael Struwe (1983)
Commentarii mathematici Helvetici
Lucio Boccardo, Giuseppe Buttazzo (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We prove an existence result for equations of the form where the coefficients satisfy the usual ellipticity conditions and hypotheses weaker than the continuity with respect to the variable . Moreover, we give a counterexample which shows that the problem above may have no solution if the coefficients are supposed only Borel functions
Chi-ping Lau (1985)
Manuscripta mathematica
Rüdiger Landes (1979)
Manuscripta mathematica
Nikolaos Halidias, Nikolaos S. Papageorgiou (2000)
Czechoslovak Mathematical Journal
We study the quasilinear elliptic problem with multivalued terms.We consider the Dirichlet problem with a multivalued term appearing in the equation and a problem of Neumann type with a multivalued term appearing in the boundary condition. Our approach is based on Szulkin’s critical point theory for lower semicontinuous energy functionals.
Liang, Jin, Rodrigues, José Francisco (1996)
Portugaliae Mathematica
Benboubker, Mohamed Badr, Azroul, Elhoussine, Barbara, Abdelkrim (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Augsburger, Fabien, Hungerbuehler, Norbert (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Hungerbühler, Norbert (1999)
The New York Journal of Mathematics [electronic only]
De Nàpoli, Pablo L., Mariani, M.Cristina (2002)
Abstract and Applied Analysis
Hans W. Alt, Stephan Luckhaus (1983)
Mathematische Zeitschrift
D. Arcoya, P. J. Martínez-Aparicio (2008)
Revista Matemática Iberoamericana
Rüdiger Landes (1977)
Mathematische Zeitschrift
Mariano Giaquinta, Enrico Giusti (1984)
Annales de l'I.H.P. Analyse non linéaire
W. B. Liu, John W. Barrett (1994)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Arina A. Arkhipova (2003)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
It is proved that a function can be estimated in the norm with a higher degree of summability if it satisfies some integral relations similar to the reverse Hölder inequalities (quasireverse Hölder inequalities). As an example, we apply this result to derive an a priori estimate of the Hölder norm for a solution of strongly nonlinear elliptic system.
Oanh Chau, Dumitru Motreanu, Mircea Sofonea (2002)
Applications of Mathematics
We consider two quasistatic problems which describe the frictional contact between a deformable body and an obstacle, the so-called foundation. In the first problem the body is assumed to have a viscoelastic behavior, while in the other it is assumed to be elastic. The frictional contact is modeled by a general velocity dependent dissipation functional. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of evolution variational...