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Qualitative theory of nonlinear elliptic and parabolic equations

Organizer(s):
Name:	Affiliation:	Country:
Raul Manasevich	University of Chile	Chile
Satoshi Tanaka	Tohoku University	Japan

Abstract:

In this session, we will be dedicate to properties of solutions of nonlinear elliptic and parabolic equations and systems. We will study qualitative properties, such as existence, uniqueness, stability, bifurcation and symmetry of solutions and related methods. Results showing connection with real world applications are welcome also.

List of approved abstract
Name	Affiliation	Title
Marta Garcia-Huidobro	Pontificia Universidad Catolica de Chile	Elliptic Hamilton-Jacobi systems through Lane-Emden Hardy-H\`{e}non equations
Masato Hashizume	Hiroshima University	A power type approximation of Moser--Trudinger inequality
Pilar Herreros	P. Universidad Catolica de Chile	Multiplicity of ground state solutions via magnitude changes
Ryuji Kajikiya	Osaka Electro-Communication University	Nodal solutions for the Moore-Nehari differential equation
Raul Manasevich	University of Chile	On the monotonicity of the period for some equations with a p-Laplace operator
Nobuhito Miyake	Graduate School of Mathematical Sciences, the University of Tokyo	Effect of decay rates of initial data on the sign of solutions to Cauchy problems of some higher order parabolic equations
Yasuhito Miyamoto	The University of Tokyo	Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli
Kentaro Nagahara	Tokyo Institute of Technology	Maximizing the total population and the bang-bang property in reaction-diffusion logistic models
Daisuke Naimen	Muroran Institute of Technology	Concentration phenomena on radial solutions to semilinear elliptic equations with the Trudinger-Moser growth
Yuki Naito	Hiroshima University	Singular solutions for semilinear elliptic equations with general supercritical growth
Yohei Sato	Saitama University	Even ground state for nonlinear Schr\\"odinger systems with repulsive interaction
Lyoubomira Softova	University of salerno	Boundedness of the solutions of a kind of nonlinear parabolic systems
Ryo Takahashi	Nara university of education	On the structure of solutions for two mean field eqautions
Satoshi Tanaka	Tohoku University	Uniqueness and multiplicity of positive solutions to the scalar-field equation on large annuli in the three-dimensional unit sphere
Mieko Tanaka	Tokyo University of Science	On the antimaximum principle for the p-Laplacian and its sublinear perturbations
Kensuke Yoshizawa	Institute of Mathematics for Industry, Kyushu University	Complete classification of planar p-elasticae