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math.AP2018
Existence and Morse Index of least energy nodal solution of the -laplacian
Oscar Agudelo, Daniel Restrepo, Carlos Velez
In this paper we study the quasilinear equation $- \ep^2 Δu-Δ_p u=f(u)$ in a smooth bounded domain with Dirichlet boundary condition. For $\ep \geq 0$, we review existence of a…
math.AP2018
Multiplicity results and qualitative properties for semilinear elliptic problems with Neumann boundary conditions
Oscar Agudelo, Santiago Correa, Daniel Restrepo +1
In this paper we study multiplicity and qualitative behavior of solutions for semilinear elliptic problems with neumann boundary condition and asymptotically linear smooth nonlinea…