## Contributed Talks

## 7/24 Saturday (Eastern Daylight Time)

**1:40 – 3:20p (20 mins for each talk: 15 mins talk + 5 mins question)**

### Session 1 – Chair: Sijing Liu

**1:40 – 2:00p:** Ravindran, S.S. “Analysis of stabilized Crank-Nicolson time-stepping scheme for the evolutionary Peterlin viscoelastic model”

**2:00 – 2:20p:** Cho, M. “A meshless method for regularized Laplacian boundary value problems using Steklov eigenfunctions”

**2:20 – 2:40p:** Sandilya, R. “Numerical stabilization of the Boussinesq system using boundary feedback control”

**2:40 – 3:00p:** Marazzato, F. “Discontinuous Galerkin implementation of variational phase-field models of brittle fracture”

### Session 2 – Chair: Ujjal Das

**1:40 – 2:00p:** Kumar, D. “Sobolev and Holder regularity results for some non-homogeneous quasilinear singular problems”

**2:00 – 2:20p:** El Aidi, M. “On a new parabolic Sobolev embedding map”

**2:20 – 2:40p:** Biswas, N. “On cylindrical and non-cylindrical (p,q)-Hardy potentials”

**2:40 – 3:00p:** Lopera Arias, E. J. “A generalized Pohozaev Identity: some applications”

**3:00 – 3:20p:** Das, U. “On the optimal space of Hardy potentials”

### Session 3 – Chair: Dhruba Adhikari

**1:40 – 2:00p:** Agudelo, O. “An existence result for anisotropic quasilinear problems”

**2:00 – 2:20p:** Taarabti, S. “Multiple solutions for a Neumann problem type with indefinite weight”

**2:20 – 2:40p:** Restrepo, D. “On the regularity and qualitative properties of solutions of Grad equations”

**2:40 – 3:00p:** Herrón O., S. “Infinitely many non-radial solutions of elliptic weighted superlinear problems”

**3:00 – 3:20p**: Adhikari, D.R. “A topological degree theory for perturbed A_G(S_+)-operators and applications to nonlinear problems”

### Session 4 – Chair: Elliott Hollifield

**1:40 – 2:00p:** Shao, Y. “The fractional porous medium equation on manifolds with conic singularities”

**2:00 – 2:20p:** Kumar, U. “Sign-changing solutions to fractional p-Laplacian problem with purely critical nonlinearity in symmetric domain”

**2:20 – 2:40p:** Lan, K. “Hammerstein integral operators involving the Newtonian potential kernel”

**2:40 – 3:00p:** Salazar, D. “Sign-changing concentrated solutions for a Neumann problem in 3D with critical nonlinearity”

**3:00 – 3:20p:** Hollifield, E. “Radial Symmetry of Nonnegative Solutions to Fractional Laplacian Equations”

### Session 5 – Chair: Jerome Goddard II

**1:40 – 2:00p:** Yang, B. “New upper estimate for positive solutions to a second order boundary value problem with a parameter”

**2:00 – 2:20p:** Fonseka, N. “Logistic growth model with U-shaped density dependent dispersal and matrix hostility”

**2:20 – 2:40p:** Muthunayake, A. “Modeling the effects of trait-mediated dispersal on coexistence of mutualists”

**2:40 – 3:00p:** Acharya, A. “Sigma-shaped bifurcation curves”

**3:00 – 3:20p:** Goddard II, J. “When is competition better than having the whole patch to yourself?”

## 7/25 Sunday (Eastern Daylight Time)

**1:40 – 3:20p (20 mins for each talk: 15 mins talk + 5 mins question)**

### Session 6 – Chair: Aaron Rapp

**1:40 – 2:00p:** Awanou, G. “Discrete Aleksandrov solutions of the Monge-Ampere equation”

**2:20 – 2:40p:** Luong, T. “Minimizers for the Cahn-Hilliard energy functional under strong anchoring conditions”

**2:40 – 3:00p:** Guo, D. “Semi-Lagrangian forward methods for time-dependent nonlinear partial differential equations”

**3:00 – 3:20p:** Rapp, A. “The consistency of the dual-wind discontinuous Galerkin methods”

### Session 7 – Chair: Falko Baustian

**1:40 – 2:00p:** Sanjuán, A. “A priori bounds for radial solutions to elliptic equations approaching critical growth”

**2:00 – 2:20p:** Kumar, K.A. “A shape variation result via the geometry of the eigenfunctions”

**2:20 – 2:40p:** Dimou, H. “A new variant of Wilson’s functional equation on monoids”

**2:40 – 3:00p:** Valdebenito, D.A. “Log-radially quasiperiodic solutions to certain semilinear elliptic equations”

**3:00 – 3:20p:** Baustian, F. “Basis properties of Fucík eigenfunctions”

### Session 8 – Chair: Byungjae Son

**1:40 – 2:00p:** Halder, A.K. “Solutions of Yu-Toda-Sasa-Fukuyama equation using point and nonlocal symmetries”

**2:00 – 2:20p:** Joseph, A. “Positive solutions to superlinear semipositone problems on the exterior of a ball”

**2:20 – 2:40p:** Thomas, P.J. “A partial differential equation for the mean–return-time phase of planar stochastic oscillator”

**2:40 – 3:00p:** Son, B. “A uniqueness result for positive radial solutions to nonlinear elliptic systems on the exterior of a ball”

**3:00 – 3:20p: **Sarkar, A. “Three solutions for a weighted p-Laplacian problem”

### Session 9 – Chair: Jorge I Cossio Betancur

**1:40 – 2:00p: **Kotrla, L. “Comparison principles in problems with p-Laplacian”

**2:00 – 2:20p:** Mohammed, A. “On the lower and upper bound of the ground state-energy for the p-Laplacian operators”

**2:20 – 2:40p:** Vélez, C. “Energy and blow up analysis associated to radially symmetric quasilinear Dirichlet problems with indefinite weight”

### Session 10 – Chair: Catherine Payne

**2:00 – 2:20p:** Robertson, T. “Cauchy problem for Keller-Segel systems in weighted mixed-norm spaces”

**2:20 – 2:40p:** Wagley, M. “Non-standard compact discretization for Burger’s type non-linear equations”

**2:40 – 3:00p:** Payne, C. “Delay-dependent stability criterion for linear neutral systems with distributed delays”

**3:00 – 3:20p: **Wang, T. “Forced oscillation of viscous Burgers equation in a bounded domain”