His primary scientific interests are in Mathematical analysis, Pure mathematics, Bounded function, Applied mathematics and Elliptic curve. His Class, Order and Partial differential equation study in the realm of Mathematical analysis interacts with subjects such as A priori and a posteriori. As a part of the same scientific family, Enzo Mitidieri mostly works in the field of Pure mathematics, focusing on Type and, on occasion, Inequality.
His work carried out in the field of Bounded function brings together such families of science as Discrete mathematics, Ellipse, Dirichlet problem, Sobolev space and Domain. The study incorporates disciplines such as Stochastic partial differential equation, Mathematical economics, Numerical partial differential equations and First-order partial differential equation in addition to Applied mathematics. His Elliptic curve study integrates concerns from other disciplines, such as Elliptic systems, Biharmonic equation, Existence theorem and Mathematical physics.
His main research concerns Mathematical analysis, Pure mathematics, Applied mathematics, Partial differential equation and Order. In his works, Enzo Mitidieri undertakes multidisciplinary study on Mathematical analysis and Maximum principle. His Pure mathematics research incorporates themes from Class, Elliptic systems, Type and Inequality.
His Applied mathematics study combines topics in areas such as Stochastic partial differential equation, Numerical partial differential equations and First-order partial differential equation. Enzo Mitidieri focuses mostly in the field of Partial differential equation, narrowing it down to matters related to Initial value problem and, in some cases, Hyperbolic partial differential equation. The various areas that Enzo Mitidieri examines in his Bounded function study include Domain and Sobolev space.
Mathematical analysis, Pure mathematics, Order, Applied mathematics and Type are his primary areas of study. His work on Heat equation, Fourth order and Hyperbolic partial differential equation is typically connected to Compacton and Similarity as part of general Mathematical analysis study, connecting several disciplines of science. The Pure mathematics study combines topics in areas such as Algebraic number, Uniqueness and Inequality.
He combines subjects such as Elliptic systems and Schrödinger equation with his study of Order. The concepts of his Applied mathematics study are interwoven with issues in Infinity, Eigenvalues and eigenvectors and Galerkin method. His studies deal with areas such as Elliptic operator and Divergence as well as Type.
Enzo Mitidieri mainly investigates Mathematical analysis, Pure mathematics, Order, Type and Geometry and topology. His Mathematical analysis research integrates issues from Elliptic systems and Divergence. His studies in Elliptic systems integrate themes in fields like Function, Elliptic operator and Allen–Cahn equation.
His Pure mathematics research focuses on subjects like Uniqueness, which are linked to Potential theory and Class. His Order research is multidisciplinary, incorporating elements of Sobolev space, Integral equation and Schrödinger equation. His Heat equation research includes elements of Korteweg–de Vries equation, Initial value problem and Hyperbolic partial differential equation, Partial differential equation.
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A RELLICH TYPE IDENTITY AND APPLICATIONS
Enzo Mitidieri.
Communications in Partial Differential Equations (1993)
Apriori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities
Enzo Mitidieri;Stanislav I. Pokhozhaev.
(2001)
Positive Solutions of Semilinear Elliptic Systems
Ph. Clément;D. G. de Figueiredo;E. Mitidieri.
Communications in Partial Differential Equations (1992)
Nonexistence of positive solutions of semilinear elliptic systems in $\mathbf{R}^N$
Enzo Mitidieri.
Differential and Integral Equations (1996)
A maximum principle for an elliptic system and applications to semilinear problems
Djairo G de Figueiredo;Enzo Mitidieri.
Siam Journal on Mathematical Analysis (1986)
The absence of Global Positive Solutions to Quasilinear Elliptic Inequalities
Enzo Mitidieri;S. I. Pokhozhaev.
Doklady Mathematics (1998)
Hardy inequalities with optimal constants and remainder terms
Filippo Gazzola;Hans-Christoph Grunau;Enzo Mitidieri.
Transactions of the American Mathematical Society (2003)
Positive solutions for a quasilinear system via blow up
Philippe Clément;Raúl Manásevich;Enzo Mitidieri.
Communications in Partial Differential Equations (1993)
Existence of multiple solutions for quasilinear systems via fibering method
Yuri Bozhkov;Enzo Mitidieri.
Journal of Differential Equations (2003)
A simple approach to Hardy inequalities
E. Mitidieri.
Mathematical Notes (2000)
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