Faculty

Institution

Unit

Venue

Alfonso Castro

Harvey Mudd College

Affiliations

Center For Computational Science And Engineering

Harvey Mudd College

Department Of Biology

Department Of Computer Science

Department Of Mathematics

Humanities, Social Sciences, and the Arts

NoneAlfonso Castro is currently serving as a Center For Computational Science And Engineering faculty at Harvey Mudd College.

Honors

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Experiences

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Education

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Alfonso Castro

Harvey Mudd College

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applied mathematics boundary value problems partial differential equations elliptic equations differential equations mathematics nonlinear analysis mathematical analysis nonlinear functional analysis elliptic function abstract and applied analysis calculus of variations ordinary differential equations nonlinear equations functional analysis nonlinear science geometric analysis nonlinear phenomena positive solutions spectral theory nonlinear dynamics potential theory riemann-hilbert problem semipositone problems superlinear dirichlet problem nonlinear hyperbolic problem nonlinear wave propagation mathematical sciences rational mechanic geometric partial differential equation bifurcation theory symmetry monge-ampere equation singularly perturbed problem nonnegative solutions semilinear dirichlet problem symmetric solutions subcritical elliptic equations many radial solutions numerical mathematics function spaces mathematical optimization dirichlet form variational analysis evolution equations multiple solutions dirichlet problem radial solutions applied physics engineering geometric topology analytic number theory stability analysis theoretical analysis geometry of numbers modern algebra free boundary problems global analysis nonlinear dirichlet problem non-negative solutions positive solution curves concave nonlinearities jumping nonlinearities numerical simulations thermal engineering multimedia information processing numerical algorithms facies analysis lie point symmetry periodic travelling wave continuous optimization kam theory spectral analysis fourier analysis variational inequalities complex dynamics

Notable Scholarly Works

Notable Federal Grants

Collaborators

Persistence of Solutions to the Derivative Nonlinear SchröDinger Equation in Weighted Sobolev Spaces. Quarterly of Applied Mathematics (2025)

partial differential equationsnonlinear phenomenanonlinear equationsnonlinear functional analysisfunctional analysisnonlinear hyperbolic problemnonlinear scienceharmonic analysisordinary differential equationselliptic equationsweighted sobolev spacesoperator theoryabstract and applied analysisboundary value problemscalculus of variationsnonlinear analysisdifferential equations

Biharmonic Equation With Discontinuous Nonlinearities. Electronic Journal of Differential Equations (2024)

partial differential equationsnonlinear phenomenanonlinear equationsnonlinear functional analysisnonlinear scienceabstract and applied analysisboundary value problemscalculus of variationsnonlinear analysisdifferential equationsbiharmonic equation

Energy Analysis, Phase Plane, Initial Value Problems and the Existence of Infinitely Many Solutions to Superlinear Elliptic Problems. Trends in mathematics (2024)

partial differential equationsnonlinear hyperbolic problemelliptic equationsenergy analysiselliptic functionsuperlinear elliptic problemsphase planeboundary value problemsapplied mathematicsmathematicscalculus of variationsnonlinear analysisdifferential equations

Regular Solutions to Elliptic Equations. Electronic Journal of Differential Equations (2023)

partial differential equationsnonlinear functional analysisrational mechanicelliptic equationselliptic functionmathematical sciencesboundary value problemsapplied mathematicsmathematicsnonlinear analysisregular solutionsdifferential equations

Semilinear Wave Equation With Non-Monotone Nonlinearity. Electronic Journal of Differential Equations (2023)

partial differential equationsnonlinear phenomenanonlinear equationsnonlinear functional analysisnonlinear sciencewave nonlinearitynonlinear dynamicssemilinear wave equationabstract and applied analysisnonlinear wave propagationboundary value problemsnonlinear analysisdifferential equations

Shooting From Singularity to Singularity and a Quasilinear I P /I -Laplace-Beltrami Equation With Indefinite Weight. Discrete and Continuous Dynamical Systems - S (2023)

partial differential equationssingularly perturbed problemabstract and applied analysisindefinite weightboundary value problemsapplied mathematicsmathematical physicsdifferential equations

Some Local Well Posedness Results in Weighted Sobolev Space $H^{1/3}$ for the 3-Kdv Equation. Journal of Mathematics Mechanics and Computer Science (2023)

partial differential equationsfunctional analysis3-kdv equationgeometric analysisabstract and applied analysisposedness resultspotential theoryboundary value problemsmicrolocal analysisapplied mathematicsweighted sobolev spacenonlinear analysisdifferential equations

A Semilinear Wave Equation With Non-Monotone Nonlinearity and Forcing Flat on Characteristics. Electronic Journal of Differential Equations (2021)

Jose F. CaicedoAlfonso CastroRodrigo Duque

partial differential equationsnonlinear equationsnon-monotone nonlinearitysemilinear wave equationapplied mathematicsnonlinear analysisdifferential equations

Infinitely Many Radial Solutions for a Inline-Formula Tex-Math Id="M1" $ P $ /Tex-Math /Inline-Formula -Laplacian Problem With Indefinite Weight. Discrete and Continuous Dynamical Systems (2021)

partial differential equationsmathematical analysiselliptic equations-laplacian problemelliptic functiongeometric partial differential equationgeometric analysisindefinite weightnumerical mathematicsboundary value problemsmany radial solutionsapplied mathematicsmathematicsnumerical analysisdifferential equations

Infinitely Many Radial Solutions for a P-Laplacian Problem With Negative Weight at the Origin. Electronic Journal of Differential Equations (2021)

Alfonso CastroJorge CossioSigifredo HerronCarlos Velez

negative weightordinary differential equationsp-laplacian problemboundary value problemsmany radial solutionsapplied mathematicsdifferential equations

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Alfonso Castro

Harvey Mudd College

Affiliations

Center For Computational Science And Engineering

Harvey Mudd College

Department Of Biology

Department Of Computer Science

Department Of Mathematics

Humanities, Social Sciences, and the Arts

NoneAlfonso Castro is currently serving as a Center For Computational Science And Engineering faculty at Harvey Mudd College.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Alfonso Castro

Harvey Mudd College

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Persistence of Solutions to the Derivative Nonlinear SchröDinger Equation in Weighted Sobolev Spaces. Quarterly of Applied Mathematics (2025)

Biharmonic Equation With Discontinuous Nonlinearities. Electronic Journal of Differential Equations (2024)

Energy Analysis, Phase Plane, Initial Value Problems and the Existence of Infinitely Many Solutions to Superlinear Elliptic Problems. Trends in mathematics (2024)

Regular Solutions to Elliptic Equations. Electronic Journal of Differential Equations (2023)

Semilinear Wave Equation With Non-Monotone Nonlinearity. Electronic Journal of Differential Equations (2023)

Shooting From Singularity to Singularity and a Quasilinear I P /I -Laplace-Beltrami Equation With Indefinite Weight. Discrete and Continuous Dynamical Systems - S (2023)

partial differential equationssingularly perturbed problemabstract and applied analysisindefinite weightboundary value problemsapplied mathematicsmathematical physicsdifferential equations

Some Local Well Posedness Results in Weighted Sobolev Space $H^{1/3}$ for the 3-Kdv Equation. Journal of Mathematics Mechanics and Computer Science (2023)

A Semilinear Wave Equation With Non-Monotone Nonlinearity and Forcing Flat on Characteristics. Electronic Journal of Differential Equations (2021)

Jose F. CaicedoAlfonso CastroRodrigo Duque

partial differential equationsnonlinear equationsnon-monotone nonlinearitysemilinear wave equationapplied mathematicsnonlinear analysisdifferential equations

Infinitely Many Radial Solutions for a Inline-Formula Tex-Math Id="M1" $ P $ /Tex-Math /Inline-Formula -Laplacian Problem With Indefinite Weight. Discrete and Continuous Dynamical Systems (2021)

Infinitely Many Radial Solutions for a P-Laplacian Problem With Negative Weight at the Origin. Electronic Journal of Differential Equations (2021)

Alfonso CastroJorge CossioSigifredo HerronCarlos Velez

negative weightordinary differential equationsp-laplacian problemboundary value problemsmany radial solutionsapplied mathematicsdifferential equations

1
2
3
4
5
10
10 / page