Results 41 to 50 of about 869,106 (168)
Mountain pass techniques for some classes of nonvariational problems
, 2009 Existence results are presented for classical solutions to some nonvariational problems through a suitable approximation method of Mountain Pass critical ...
Matzeu, M +9 more
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Existence and multiplicity of solutions for divergence type elliptic equations
Electronic Journal of Differential Equations, 2011 We establish the existence and multiplicity of weak solutions of a problem involving a uniformly convex elliptic operator in divergence form. We find one nontrivial solution by the mountain pass lemma, when the nonlinearity has a $(p-1)$-superlinear ...
Lin Zhao, Peihao Zhao, Xiaoxia Xie
doaj
Molecular Ecology, Volume 35, Issue 8, April 2026.ABSTRACT Population genetic diversity (PGD) underpins the adaptive capacity of species, shaping resilience to environmental change and long‐term persistence. Yet the drivers of PGD variation are complex and difficult to disentangle because they act across multiple scales and reflect both ecological context and evolutionary history. Here, we investigate
Maryam Burger +4 more
wiley +1 more source
四川大学学报. 自然科学版, 2018 Under the suitable ranges of parameters and given assumptions, by using Ekeland variations principle、mountain pass lemma、concentration compactness lemma and some analysis techniques, Kirchhoff-type equations with critical exponents and nonhomogeneous ...
Ding Ling, WANG Ji-Xiu, ZHANG Dan-Dan
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Existence Theorems for Some Classes of Boundary Value Problems Involving the P(X)-Laplacian
Nonlinear Analysis, 2008 We prove an alternative for a nonlinear eigenvalue problem involving the p(x)-Laplacian and study a subcritical boundary value problem for the same operator.
Ionica Andrei
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Nontrivial Solutions of a Class of Fourth-Order Elliptic Problems with Potentials
Fractal and Fractional, 2022 This paper deals with a fourth-order elliptic equation with Dirichlet boundary conditions. Using a variant form of the mountain pass theorem, we prove the existence of nontrivial solutions to this problem.
Jiabin Zuo +2 more
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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
wiley +1 more source
Existence of solutions for a p-Laplacian Kirchhoff type problem with nonlinear term of superlinear and subcritical growth [PDF]
, 2022 This paper is concerned by the study of the existence of nonnegative and nonpositive solutions for a nonlocal quasilinear Kirchhoff problem by using the Mountain Pass lemma technique.
TOUFIK, Moussaoui, IMANE, Melzi
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Romance Loans in Middle Dutch and Middle English: Retained or Lost? A Matter of Metre1
Transactions of the Philological Society, Volume 124, Issue 1, Page 1-28, March 2026.Abstract Romance words have been borrowed into all medieval West‐Germanic languages. Modern cognates show that the metrical patterns of loans can differ although the Germanic words remain constant: loan words Dutch kolónie, English cólony, German Koloníe compared with Germanic words Dutch wéduwe, English wídow, German Wítwe.
Johanneke Sytsema, Aditi Lahiri
wiley +1 more source
Infinitely Many Solutions for a Class of Fractional Impulsive Coupled Systems with (p,q)-Laplacian
Discrete Dynamics in Nature and Society, 2018 By using the symmetric mountain pass lemma, we investigate the problem of existence of infinitely many solutions for a class of fractional impulsive coupled systems with (p,q)-Laplacian, which possesses mixed type nonlinearities, and the nonlinearities ...
Junping Xie, Xingyong Zhang
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