Results 61 to 70 of about 145 (131)
Electronic Journal of Differential Equations, 2000 In this paper we analyze the existence of regular and large positive solutions for a class of non-linear elliptic boundary value problems of logistic type in the presence of refuges.
Julian Lopez-Gomez
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The Exterior Problem of Parabolic Hessian Quotient Equations
MathematicsIn this paper, we investigate the exterior problem of parabolic Hessian quotient equations. By utilizing Perron’s method, we establish the existence of viscosity solutions that exhibit generalized asymptotic behavior at infinity.
Huawei Zhao, Limei Dai
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Time‐insensitive nonlocal parabolic Harnack estimates
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We establish new Harnack estimates that defy the waiting‐time phenomenon for global solutions to nonlocal parabolic equations. Our technique allows us to consider general nonlocal operators with bounded measurable coefficients. Moreover, we show that a waiting‐time is required for the nonlocal parabolic Harnack inequality when local solutions ...
Naian Liao, Marvin Weidner
wiley +1 more source
Positive solutions for a class of infinite semipositone problems involving the p-Laplacian operator
Le Matematiche, 2013 We discuss the existence of a positive solution to a given infinite semipositone problem.
M. Choubin +3 more
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Optimal sub- or supersolutions in reaction-diffusion problems
, 1999 SAM Research Report, 1999 ...
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A nonlinear characterization of stochastic completeness of graphs
Mathematische Nachrichten, Volume 298, Issue 3, Page 925-943, March 2025.Abstract We study nonlinear Schrödinger operators on graphs. We construct minimal nonnegative solutions to corresponding semilinear elliptic equations and use them to introduce the notion of stochastic completeness at infinity in a nonlinear setting. We provide characterizations for this property in terms of a semilinear Liouville theorem.
Marcel Schmidt, Ian Zimmermann
wiley +1 more source
Applications of Sub-Supersolution Theorems to Singular Nonlinear Elliptic Problems
Advanced Nonlinear Studies, 2011 Abstract The results presented here were motivated by several recent papers on singular boundary value problems for semilinear elliptic equations with convection terms. We present extensions which cover singular nonlinear equations (mainly equations involving the p−Laplacian) containing convection terms.
Nguyen Hoang Loc, Klaus Schmitt
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Asymptotic growth rate of solutions to level‐set forced mean curvature flows with evolving spirals
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 748-770, March 2025.Abstract Here, we study a level‐set forced mean curvature flow with evolving spirals and the homogeneous Neumann boundary condition, which appears in a crystal growth model. Under some appropriate conditions on the forcing term, we prove that the solution is globally Lipschitz.
Hiroyoshi Mitake, Hung V. Tran
wiley +1 more source
Swin2‐MoSE: A new single image supersolution model for remote sensing
IET Image Processing, Volume 19, Issue 1, January/December 2025.In this paper, we propose Swin2‐MoSE model, an enhanced version of Swin2SR, for Remote‐Sensing Single‐Image Super‐Resolution. Our model introduces MoE‐SM, an enhanced Mixture‐of‐Experts (MoE) to replace the Feed‐Forward inside all Transformer block. MoE‐SM is designed with Smart‐Merger, and new layer for merging the output of individual experts, and ...
Leonardo Rossi +4 more
wiley +1 more source
Existence and comparison results for quasilinear evolution hemivariational inequalities
Electronic Journal of Differential Equations, 2004 We generalize the sub-supersolution method known for weak solutions of single and multivalued nonlinear parabolic problems to quasilinear evolution hemivariational inequalities.
Siegfried Carl +2 more
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