Results 1 to 10 of about 113 (94)
Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping [PDF]
Frontiers in Applied Mathematics and Statistics, 2023 In the present study, we consider a thermal-Timoshenko-beam system with suspenders and Kelvin–Voigt damping type, where the heat is given by Cattaneo's law. Using the existing semi-group theory and energy method, we establish the existence and uniqueness
Soh Edwin Mukiawa +4 more
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Advances in Mathematical PhysicsMSC2020 Classification: 35D30 ...
Weifeng Hu, Yunzhang Cheng
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Degenerate nonlinear parabolic equations with discontinuous diffusion coefficients
Journal of the London Mathematical Society, Volume 104, Issue 2, Page 688-746, September 2021., 2021 Abstract This paper is devoted to the study of some nonlinear parabolic equations with discontinuous diffusion intensities. Such problems appear naturally in physical and biological models. Our analysis is based on variational techniques and in particular on gradient flows in the space of probability measures equipped with the distance arising in the ...
Dohyun Kwon, Alpár Richárd Mészáros
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Strong solutions for semilinear problems with almost sectorial operators [PDF]
, 2022 In this paper we study a semilinear parabolic problem ut + Au = f(t, u), t > τ ; u(τ ) = u0 ∈ X, in a Banach space X, where A : D(A) ⊂ X → X is an almost sectorial operator. This problem is locally well-posed in the sense of mild solutions.
Boldrin Belluzi, Maykel +3 more
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Positive solutions for (p, q)-equations with convection and a sign-changing reaction
Advances in Nonlinear Analysis, 2021 We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction which is dependent on the gradient. We look for positive solutions and we do not assume that the reaction is nonnegative.
Zeng Shengda, Papageorgiou Nikolaos S.
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Strongly quasilinear parabolic systems
, 2023 Using the theory of Young measures, we prove the existence of solutions to a strongly quasilinear parabolic system Mathematics Subject Classification (2010): 35K55, 35D30, 46E30 Received 29 April 2020; Accepted 29 June ...
AZROUL, Elhoussine +3 more
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Perturbed eigenvalue problems: an overview
, 2021 The study of perturbed eigenvalue problems has been a very active field of investigation throughout the years. In this survey we collect several results in the field.
MIHĂILESCU, Mihai +3 more
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Nonlinear elliptic equations by topological degree in Musielak-Orlicz-Sobolev spaces
, 2023 We prove by using the topological degree theory the existence of at least one weak solution for the nonlinear elliptic equation Mathematics Subject Classification (2010): 35J60, 35D30, 47J05, 47H11.
LAHMI, Badr, AIT HAMMOU, Mustapha
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Existence results for Dirichlet double phase differential inclusions
, 2023 In this paper we consider a class of double phase differential inclusions. The variational formulation of the problem gives rise to a so-called hemivariational inequality and the corresponding energy functional is not differentiable.
Shengda Zeng +3 more
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The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
Advances in Nonlinear Analysis, 2020 We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
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