5 papers · 1 filter
Degenerate singular Kirchhoff problems in Musielak-Orlicz spaces
Umberto Guarnotta, Patrick Winkert
In this paper we study quasilinear elliptic Kirchhoff equations driven by a non-homogeneous operator with unbalanced growth and right-hand sides that consist of sub-linear, possibl…
Double phase problems with variable exponents depending on the solution and the gradient in the whole space
Ala Eddine Bahrouni, Anouar Bahrouni, Patrick Winkert
In this paper, we establish continuous and compact embeddings for a new class of Musielak-Orlicz Sobolev spaces in unbounded domains driven by a double phase operator with variable…
On singularly perturbed -Laplace Schrödinger equation with logarithmic nonlinearity
Deepak Kumar Mahanta, Tuhina Mukherjee, Patrick Winkert
This article focuses on the study of the existence, multiplicity and concentration behavior of ground states as well as the qualitative aspects of positive solutions for a …
Degenerate Kirchhoff problems with nonlinear Neumann boundary condition
Franziska Borer, Marcos T. O. Pimenta, Patrick Winkert
In this paper we consider degenerate Kirchhoff-type equations of the form \[-ϕ(Ξ(u)) \left(\mathcal{A}(u)-|u|^{p-2}u\right) = f(x,u)\quad \text{in } Ω,\] \[\phantom{aaiaaaaaaaaa}ϕ(…
Elliptic -Laplacian systems with nonlinear boundary condition
Franziska Borer, Siegfried Carl, Patrick Winkert
In this paper we study quasilinear elliptic systems given by \begin{equation*} \begin{aligned} -Δ_{p_1}u_1 & =-|u_1|^{p_1-2}u_1 \quad && \text{in } Ω,\newline -Δ_{p_2}u_2 & =-|u_2|…