Results 41 to 50 of about 729 (179)
The Structure of the Critical Set in the Mountain Pass Theorem [PDF]
Transactions of the American Mathematical Society, 1987 We show that the critical set generated by the Mountain Pass Theorem of Ambrosetti and Rabinowitz must have a well-defined structure. In particular, if the underlying Banach space is infinite dimensional then either the critical set contains a saddle point of mountain-pass type, or the set of local minima intersects at least two components of the set ...
PUCCI, Patrizia, J. SERRIN
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(N,q)$(N,q)$‐Laplacian equations with one‐sided critical exponential growth
Mathematische Nachrichten, Volume 299, Issue 3, Page 675-698, March 2026.Abstract We prove the existence of two non‐trivial weak solutions for a class of quasilinear, non‐homogeneous elliptic problems driven by the (N,q)$(N,q)$‐Laplacian with one‐sided critical exponential growth in a bounded domain Ω⊂RN$\Omega \subset \mathbb {R}^{N}$. The first solution is obtained as a local minimizer of the associated energy functional;
Elisandra Gloss +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, a fourth-order boundary value problem on the half-line is considered and existence of solutions is proved using a minimization principle and the mountain pass theorem.
Mabrouk Briki +2 more
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Advances in Difference Equations, 2020 We consider the combined effect of concave–convex nonlinearities on the number of solutions for an indefinite truncated Kirchhoff-type system involving the weight functions.
Qingjun Lou, Yupeng Qin
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Methodological Frameworks for Computational Electrocatalysis: From Theory to Practice
Small Methods, Volume 10, Issue 5, 9 March 2026.Computational modeling is widely used to investigate electrocatalytic reactions, yet accurately describing electrochemical interfaces remains challenging. This review outlines theoretical and computational strategies, based on density functional theory, to model reaction thermodynamics, solvation effects, applied bias, and kinetics.
Michele Re Fiorentin +8 more
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High Perturbations of a Fractional Kirchhoff Equation with Critical Nonlinearities
AxiomsThis paper concerns a fractional Kirchhoff equation with critical nonlinearities and a negative nonlocal term. In the case of high perturbations (large values of α, i.e., the parameter of a subcritical nonlinearity), existence results are obtained by the
Shengbin Yu +2 more
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Amendment Thresholds and Voting Rules in Debt Contracts
Journal of Accounting Research, Volume 64, Issue 1, Page 181-227, March 2026.ABSTRACT Most loan contracts in the United States contain a provision for lender voting rules. We study the optimal voting rule that allows lenders to waive a covenant violation. When lenders have heterogeneous preferences, lenient voting rules increase the probability of waivers that allow inefficient investments.
JUDSON CASKEY +2 more
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Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)
Studies in Applied Mathematics, Volume 156, Issue 3, March 2026.ABSTRACT In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long‐term behavior of solutions, and we identify the conditions under which the solutions of the Cauchy problem associated with this equation are bounded globally in time in the ...
Amin Esfahani, Gulcin M. Muslu
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Geophysical Research Letters, Volume 53, Issue 1, 16 January 2026.Abstract There are no theoretical formulas that can accurately predict the sand transport rate (Qm) over the Gobi surface. We report herein high‐frequency field observations of wind‐blown sand processes over the Gobi surface under extremely high winds in eastern Xinjiang, China. The results reveal that the power‐law exponent of the scaling relationship
Tao Wang +5 more
wiley +1 more source
Electronic Journal of Differential Equations, 2010 In this article we consider the differential inclusion $$displaylines{ -hbox{div}(| abla u|^{p(x)-2} abla u)in partial F(x,u) quadhbox{in }Omega,cr u=0 quad hbox{on }partial Omega }$$ which involves the $p(x)$-Laplacian.
Guowei Dai
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