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- Patrizia Pucci

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
46
Citations
8,208
192
World Ranking
979
National Ranking
27

- Mathematical analysis
- Quantum mechanics
- Algebra

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.

- The Maximum Principle (520 citations)
- A general variational identity (375 citations)
- Multiple solutions for nonhomogeneous Schrödinger–Kirchhoff type equations involving the fractional p -Laplacian in $${\mathbb {R}}^N$$ R N (224 citations)

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.

- Mathematical analysis (47.52%)
- Nonlinear system (25.74%)
- Pure mathematics (21.29%)

- Mathematical analysis (47.52%)
- Pure mathematics (21.29%)
- Nonlinear system (25.74%)

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.

- p-fractional Kirchhoff equations involving critical nonlinearities (60 citations)
- Existence results for Schrödinger–Choquard–Kirchhoff equations involving the fractional p-Laplacian (42 citations)
- Kirchhoff–Hardy Fractional Problems with Lack of Compactness (40 citations)

- Mathematical analysis
- Quantum mechanics
- Algebra

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The Maximum Principle

Patrizia Pucci;James Serrin.

**(2007)**

721 Citations

A general variational identity

Patrizia Pucci;J. Serrin.

Indiana University Mathematics Journal **(1986)**

556 Citations

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)**

400 Citations

A mountain pass theorem

Patrizia Pucci;James Serrin.

Journal of Differential Equations **(1985)**

316 Citations

The strong maximum principle revisited

Patrizia Pucci;James Serrin.

Journal of Differential Equations **(2004)**

266 Citations

Multiplicity of solutions for p(x) -polyharmonic elliptic Kirchhoff equations

Francesca Colasuonno;Francesca Colasuonno;Patrizia Pucci.

Nonlinear Analysis-theory Methods & Applications **(2011)**

247 Citations

Elliptic problems involving the fractional Laplacian in RN

Giuseppina Autuori;Patrizia Pucci.

Journal of Differential Equations **(2013)**

244 Citations

Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations

Patrizia Pucci;Mingqi Xiang;Binlin Zhang.

Advances in Nonlinear Analysis **(2016)**

223 Citations

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)**

216 Citations

Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity

Giuseppina Autuori;Alessio Fiscella;Patrizia Pucci.

Nonlinear Analysis-theory Methods & Applications **(2015)**

202 Citations

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