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SS17: Nonlinear Elliptic and Parabolic Problems

Organizer(s):
Name:	Affiliation:	Country:
Sze-Bi Hsu	National Tsing-Hua University, Hsinchu	Taiwan
Julian Lopez-Gomez	Complutense University of Madrid	Spain

Abstract:
Nonlinear elliptic and parabolic equations model a great variety of real systems of huge interest from a social perspective. In particular, they are pivotal in population dynamics, though their applications cover all branches of Science and Engineering. This special section tries to gather some of the very best experts in this field in order to discuss the more recent advances, as well as some of the most significant applications in population dynamics. In particular, an important amount of attention will be focused into the role played by spatial and temporal heterogeneities in the dynamics of these models.

List of approved abstract
Name	Affiliation	Title
Marie-Francoise BIDAUT-VERON	University Francois Rabelais, Tours	A priori estimates for elliptic equations with a source term involving the product of the function and its gradient
Jaeyoung Byeon	KAIST	Asymptotic behavior of a least energy solution for Henon equation with Neumann boundary condition
Robert Stephen Cantrell	University of Miami	Resident-Invader Dynamics in Infinite Dimensional Systems
Ting-Ying Chang	Monash University	Singular Solutions of Weighted Divergence-Form Equations
Jann-Long Chern	National Central University	Singular Points Effects in Some Elliptic Equations with Sobolev Exponent and Hardy Potential
Florica C Cirstea	University of Sydney	Sharp asymptotic profiles of singular solutions to an elliptic equation with a sign-changing non-linearity
Chris Cosner	University of Miami	Dynamics of populations with multiple movement modes
David G Costa	University of Nevada Las Vegas	Existence and Concentration of Positive Solutions for a Class of Kirchhoff type Equations
Elaine Crooks	Swansea University	Invasion speeds in a competition-diffusion model with mutation
Daniel Daners	University of Sydney	Global dynamics of generalized logistic equations
Guglielmo Feltrin	University of Turin	High multiplicity of positive solutions to indefinite problems arising in population genetic models
Sze-Bi Hsu	National Tsing-Hua University	Single species growth consuming inorganic carbon with internal storage in a poorly mixed habitat
Hsin-Yuan Huang	Department of Applied Mathematics, National Chiao-Tung University	Existence of Bubbling Solutions for the Liouville System
Tai-Chia Lin	National Taiwan University	Eigenvalue estimate of nonlinear Schrodinger equations
JULIAN LOPEZ-GOMEZ	Complutense University, Madrid	New trends in diffusive Lotka-Volterra competition
Luis Maire	Rey Juan Carlos University	Uniqueness and multiplicity of large solutions
Hiroshi Matano	Meiji University	Front propagation through a perforated wall and a De Giorgi type theorem
Marcela Molina Meyer	Universidad Carlos III	The role of pathfollowing in nonlinear elliptic problems
Tetsutaro Shibata	Hiroshima University	Oscillatory bifurcation for semilinear eigenvalue problems
Kazuhiro Takimoto	Hiroshima University	Some removability results for $k$-Hessian equation and $k$-curvature equation
Andrea Tellini	Universidad Autonoma de Madrid	High multiplicity of positive solutions for superlinear indefinite problems with Neumann boundary conditions
Tom ter Elst	University of Auckland	H\\"{o}lder estimates for second-order operators with mixed boundary conditions
Je-Chiang Tsai	National Tsing Hua University	Longtime Behavior of Solutions of a SIS Epidemiological Mode
Kenichiro Umezu	Ibaraki University	Positivity of bifurcating solutions of indefinite concave-convex problems
LAURENT M VERON	University of Tours	Initial trace of positive solutions of semilinear fractional diffusion equations
Feng-Bin Wang	Chang Gung University	A reaction-diffusion model of harmful algae and zooplankton in an ecosystem
Tetsuya Yamada	National Institute of Technology, Fukui College	Global existence of solutions to the Cauchy problem for an attraction--repulsion chemotaxis system in two dimensions in the attractive dominant case
Eiji Yanagida	Tokyo Institute of Technology	Maximization of the total population in a reaction-diffusion model with logistic growth
Fabio Zanolin	University of Udine	Complex dynamics in a ODE model related to phase transition