Wanse Kim
Hanyang University · Mathematics
About the Lab
Professor Wanse Kim's research lab specializes in nonlinear partial and ordinary differential equations, with a strong focus on the existence and multiplicity of periodic, positive, and boundary value solutions. The lab investigates semilinear and nonlinear systems arising in mathematical physics, including parabolic, hyperbolic, and Lienard-type equations, often under sublinear or co-ergetic growth conditions. Key methodologies include variational methods, sub-supersolution techniques, and topological arguments rooted in critical point theory.
Research Overview
Research Output Trend
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Selected Papers
15We prove the existence and multiplicity of periodic solutions for nonlinear Lienard System of the type urn:x-wiley:01611712:media:ijmm962802:ijmm962802-math-0001 under various conditions upon the functions g , h and e .
The multiplicity if periodic sloutions of semilinear dissipative hyperbolic equations is treated
In this paper, we establish a multiple existence result of T-periodic solutions for the semilinear parabolic boundary value problem with sublinear growth nonlinearities. We adapt sub-supersolution scheme and topological argument based on variational structure of functionals.
We establish multiple extence of positive solutions for parameterized nonhomogeneous elliptic equations involving critical Sobolev exponent. The approach to the problem is variational method.
A condition on forcing term insuring the multiplicity of Dirichlet-periodic solutions of nonlinear dissipative hyperbolic equations is discussed. The nonlinear term is assumed to have co- ercive growth.
Abstract. Multiplicity of nonlinear second order nonlinear ordinary differential equa-tions will be discussed 1.
Research Areas
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