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math.AP2021
Existence of solutions of degenerate semilinear elliptic boundary value problems
Raj Narayan Dhara
We show an existence of a weak solution of a degenerate and/or singular semilinear elliptic boundary value (nonhomogeneous) problem lying between a given weak subsolution and a giv…
math.AP2021★ 6 cited
Nonradiality of second eigenfunctions of the fractional Laplacian in a ball
Jiří Benedikt, Vladimir Bobkov, Raj Narayan Dhara +1
Using symmetrization techniques, we show that, for every , any second eigenfunction of the fractional Laplacian in the -dimensional unit ball with homogeneous Dirichle…
math.CA2021
Dynamical system related to primal-dual splitting projection methods
Ewa M. Bednarczuk, Raj Narayan Dhara, Krzysztof E. Rutkowski
We introduce a dynamical system to the problem of finding zeros of the sum of two maximally monotone operators. We investigate the existence, uniqueness and extendability of soluti…