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Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2017.1422726
Abstract: ABSTRACT Using a change of variables and the constrained critical point theory, we first prove the existence and multiplicity of solutions for a class of quasilinear Schrödinger equations. Next, we consider a quasilinear equation related…
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Keywords:
dinger equations;
class quasilinear;
solutions class;
sign changing ... See more keywords
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Published in 2020 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2020.1797702
Abstract: In this paper we obtain the local regularity estimates in Besov spaces of weak solutions for a class of quasilinear elliptic equations d i v a ∇ u ∇ u = d i v f…
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Keywords:
class quasilinear;
solutions class;
elliptic equations;
weak solutions ... See more keywords
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Published in 2019 at "Siberian Mathematical Journal"
DOI: 10.1134/s0037446619020095
Abstract: We establish the criteria of validity of some integral weighted inequalities for a class of quasilinear integral operators.
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Keywords:
integral operators;
estimates class;
weighted estimates;
quasilinear integral ... See more keywords
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Published in 2022 at "Axioms"
DOI: 10.3390/axioms11030096
Abstract: The existence and uniqueness of a local solution is proved for the incomplete Cauchy type problem to multi-term quasilinear fractional differential equations in Banach spaces with Riemann–Liouville derivatives and bounded operators at them. Nonlinearity in…
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Keywords:
bounded operators;
liouville derivatives;
derivatives bounded;
riemann liouville ... See more keywords
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Published in 2023 at "Mathematics"
DOI: 10.3390/math11112472
Abstract: Quasilinear equations in Banach spaces with distributed Gerasimov–Caputo fractional derivatives, which are defined by the Riemann–Stieltjes integrals, and with a linear closed operator A, are studied. The issues of unique solvability of the Cauchy problem…
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Keywords:
quasilinear equations;
equations distributed;
gerasimov caputo;
distributed gerasimov ... See more keywords
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Published in 2018 at "Discrete and Continuous Dynamical Systems - Series S"
DOI: 10.3934/dcdss.2020354
Abstract: The purpose of this paper is to give a result of the existence of a non-negative weak solution of a quasilinear elliptic equation in the N-dimensional case, \begin{document}$ N\geq 1 $\end{document} , and to present…
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Keywords:
class quasilinear;
theoretical numerical;
numerical analysis;
elliptic equations ... See more keywords