4 papers
Neumann problem with a discontinuous nonlinearity
Debajyoti Choudhuri, Dušan D. Repovš, Kamel Saoudi
This study is devoted to proving the existence of weak solutions for a nonlinear elliptic problem with Neumann-type boundary data. The problem is driven by a discontinuous power no…
Concentration Phenomena of Normalized Solutions of Critical Biharmonic Equations with Combined Nonlinearities in
Yueqiang Song, Jiaying Ma, Dušan D. Repovš
We prove the multiplicity and concentration of normalized solutions of critical biharmonic equations with combined nonlinearities in \begin{equation*} Î^{2}u+V(\v…
Concentrating solutions of the fractional -Choquard equation with exponential growth
Yueqiang Song, Xueqi Sun, Dušan D. Repovš
This article deals with the following fractional -Choquard equation with exponential growth of the form: $$\varepsilon^{ps}(-Î)_{p}^{s}u+\varepsilon^{qs}(-Î)_q^su+ Z(x)(|u…
Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions
Nabil Chems Eddine, Dušan D. Repovš
We introduce a novel framework for embedding anisotropic variable exponent Sobolev spaces into spaces of anisotropic variable exponent Hölder-continuous functions within rectangul…