Results 51 to 60 of about 145 (131)
Discrete sub- and supersolutions method
, 2021 This thesis develops the discrete sub- and supersolutions method and applies it to prove the convergence of the nonlinear finite element method applied to the generalized di usive logistic equation......
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Comparison and sub-supersolution principles for the fractional p(x)-Laplacian
Journal of Mathematical Analysis and Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Inspired by a fundamental existence result in the theory of PDEs, we present a general existence theorem for viscosity solutions in the standard sense that is applicable to a wide class of partial differential equations. These equations are characterized by coefficients that are merely measurable, with no continuity assumptions imposed.
S. M. E. Hosseini +2 more
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Multiplicity of solutions for fractional p ( z ) $p ( z ) $ -Kirchhoff-type equation
Journal of Inequalities and ApplicationsThis work deals with the existence and multiplicity of solutions for a class of variable-exponent equations involving the Kirchhoff term in variable-exponent Sobolev spaces according to some conditions, where we used the sub-supersolutions method ...
Tahar Bouali +2 more
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On the sub-supersolution method for \(p(x)\)-Laplacian equations
Journal of Mathematical Analysis and Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1783-1842, September 2025.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
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The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities
Differential and Integral Equations, 2004 We generalize the sub-supersolution method known for weak solutions of single and multivalued equations to quasilinear elliptic hemivariational inequalities. To this end we first introduce our basic notion of sub- and supersolutions on the basis of which we then prove existence, comparison, compactness, and extremality results for the hemivariational ...
Carl, S., Le, Vy K., Motreanu, D.
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The robust Orlicz risk with an application to the green photovoltaic power generation
Asian Journal of Control, Volume 27, Issue 4, Page 1655-1667, July 2025.Abstract We propose a novel recursive utility for controlling stochastic processes under risk and uncertainty. Our formulation uses a robustified Orlicz risk that can evaluate risk and uncertainty simultaneously. We focus on the control problem of a photovoltaic power generation system that supplies excess electricity for the secondary purpose of ...
Hidekazu Yoshioka, Motoh Tsujimura
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Abstract and Applied Analysis, 2013 Some new oscillation criteria for a general class of second-order differential equations with nonlinear damping are shown. Except some general structural assumptions on the coefficients and nonlinear terms, we additionally assume only one sufficient ...
Mervan Pašić
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The free boundary for semilinear problems with highly oscillating singular terms
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract We investigate general semilinear (obstacle‐like) problems of the form Δu=f(u)$\Delta u = f(u)$, where f(u)$f(u)$ has a singularity/jump at {u=0}$\lbrace u=0\rbrace$ giving rise to a free boundary. Unlike many works on such equations where f$f$ is approximately homogeneous near {u=0}$\lbrace u = 0\rbrace$, we work under assumptions allowing ...
Mark Allen +2 more
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