Her main research concerns Mathematical analysis, Pure mathematics, Nonlinear system, Elliptic operator and Laplace operator. The study incorporates disciplines such as Function and Kirchhoff equations in addition to Mathematical analysis. Her work carried out in the field of Pure mathematics brings together such families of science as Uniqueness and Calculus.
Her Nonlinear system research is multidisciplinary, incorporating elements of Constant, Dissipative system and Differential equation. Patrizia Pucci has researched Elliptic operator in several fields, including Discrete mathematics and Bounded function. Her work deals with themes such as Potential method, Phase plane, Wave equation, Scalar and Scalar field, which intersect with Laplace operator.
Mathematical analysis, Nonlinear system, Pure mathematics, Applied mathematics and p-Laplacian are her primary areas of study. Her research investigates the connection with Mathematical analysis and areas like Type which intersect with concerns in Elliptic curve. Her biological study spans a wide range of topics, including Weak solution, Class, Dirichlet boundary condition and Dissipative system.
Her study in Pure mathematics is interdisciplinary in nature, drawing from both Operator, Eigenvalues and eigenvectors, Order and Constant. Her Bounded function research is multidisciplinary, incorporating perspectives in Boundary, Combinatorics and Sobolev space. Her Sobolev space study combines topics in areas such as Multiplicity and Dirichlet distribution.
The scientist’s investigation covers issues in Mathematical analysis, Pure mathematics, Nonlinear system, Mathematical physics and Applied mathematics. Her work on p-Laplacian and Multiplicity as part of general Mathematical analysis research is frequently linked to Maximum principle, bridging the gap between disciplines. Her Pure mathematics research is multidisciplinary, relying on both Nabla symbol, Boundary value problem, Bounded function, Mean curvature and Domain.
The concepts of her Nonlinear system study are interwoven with issues in Combinatorics, Material properties, Structural material, Shear and Laplace operator. In Mathematical physics, she works on issues like Heisenberg group, which are connected to Variational principle, Mountain pass theorem and Order. The various areas that Patrizia Pucci examines in her Applied mathematics study include Energy, Fractional Laplacian, System of linear equations and Minification.
Patrizia Pucci mainly focuses on Mathematical analysis, Nonlinear system, Schrödinger's cat, Laplace operator and Applied mathematics. The Mathematical analysis study combines topics in areas such as Kirchhoff type, Omega and Degenerate energy levels. Her study explores the link between Nonlinear system and topics such as Bounded function that cross with problems in Boundary value problem, Morse theory, Eigenvalues and eigenvectors and Derivative.
Patrizia Pucci interconnects Hessian matrix, Pure mathematics, Nabla symbol, Type and Geodesic in the investigation of issues within Laplace operator. Her work on Elliptic operator as part of general Pure mathematics research is frequently linked to Q system, thereby connecting diverse disciplines of science. Her Applied mathematics research includes elements of Directional derivative, Fractional Laplacian and Monotonic function.
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The Maximum Principle
Patrizia Pucci;James Serrin.
(2007)
A general variational identity
Patrizia Pucci;J. Serrin.
Indiana University Mathematics Journal (1986)
Multiple solutions for nonhomogeneous Schrödinger–Kirchhoff type equations involving the fractional p -Laplacian in $${\mathbb {R}}^N$$ R N
Patrizia Pucci;Mingqi Xiang;Binlin Zhang;Binlin Zhang.
Calculus of Variations and Partial Differential Equations (2015)
A mountain pass theorem
Patrizia Pucci;James Serrin.
Journal of Differential Equations (1985)
The strong maximum principle revisited
Patrizia Pucci;James Serrin.
Journal of Differential Equations (2004)
Multiplicity of solutions for p(x) -polyharmonic elliptic Kirchhoff equations
Francesca Colasuonno;Francesca Colasuonno;Patrizia Pucci.
Nonlinear Analysis-theory Methods & Applications (2011)
Elliptic problems involving the fractional Laplacian in RN
Giuseppina Autuori;Patrizia Pucci.
Journal of Differential Equations (2013)
Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations
Patrizia Pucci;Mingqi Xiang;Binlin Zhang.
Advances in Nonlinear Analysis (2016)
Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
Mihai Mihăilescu;Patrizia Pucci;Vicenţiu Rădulescu;Vicenţiu Rădulescu.
Journal of Mathematical Analysis and Applications (2008)
Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
Giuseppina Autuori;Alessio Fiscella;Patrizia Pucci.
Nonlinear Analysis-theory Methods & Applications (2015)
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