Results 41 to 50 of about 440 (168)
, 1991 We present a form of the mountain pass lemma which allows one to restrict the paths to a bounded region. As a result one obtains an alternative. One obtains a critical point or an eigenvalue.
Schechter, Martin
core +1 more source
New Quantitative Deformation Lemma and New Mountain Pass Theorem
, 2014 In this paper, we obtain a new quantitative deformation Lemma so that we can obtain more critical points, especially for supinf critical value $c_1$, $x=φ^{-1}(c_1)$ is a new critical point. For $infmax$ critical value $c_2$, we can obtain two new critical points $x = 0$ (valley point) and $x = e$(peak point) ,comparing with Willem's variant of the ...
Ding, Liang, Zhang, Fode, Zhang, Shiqing
openaire +2 more sources
Mathematische Nachrichten, Volume 299, Issue 5, Page 1004-1027, May 2026.ABSTRACT This paper investigates the existence and non‐existence and uniqueness of global solutions for certain parameter values c$c$ in a new class of generalized fractional p$p$‐Kirchhoff equations in the whole space. Using the Pohozaev and Nehari identities for an auxiliary problem, together with the fractional Gagliardo–Nirenberg inequality and the
J. Vanterler da C. Sousa +2 more
wiley +1 more source
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
Mountain Pass on a Closed Convex Set
, 1997 A mountain pass lemma without the Palais–Smale condition on a closed convex subset of a Banach space is established. Then, we apply it to a semilinear elliptic partial differential equation to obtain one negative solution and a positive solution.
Ma, Li
core +1 more source
(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
Critical singular problems via concentration-compactness lemma [PDF]
, 2007 In this work we consider existence and multiplicity results of nontrivial solutions for a class of quasilinear degenerate elliptic equations in RN of the form(P)−div[|x|−ap|∇u|p−2∇u]+λ|x|−(a+1)p|u|p−2u=|x|−bq|u|q−2u+f, where x∈RN ...
Carrião, Paulo Cesar +2 more
core +1 more source
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
Existencia de Soluciones Radiales para Problemas Semilineales Elípticos Indefinidos
Selecciones Matemáticas, 2020 We study the existence of radial solutions of indefinite semilinear elliptic equations in the unit ball in Rn (n>=3) with Dirichlet boundary conditions, whose nonlinear term has the form lamda.m(|x|)f(u) where m(|.|) is radially symmetric, discontinuous ...
Marco Calahorrano, Israel Cevallos
doaj +1 more source
Generalized Mountain Pass Lemma Related with a Closed Subset and Locally Lipschitz Functionals
, 2014 The classical Mountain Pass Lemma of Ambrosetti-Rabinowitz has been studied, extended and modified in several directions, notable examples would certainly include the generalization to locally Lipschitz functionals in K.C. Chang, analysis of the structure of the critical set in the mountain pass theorem by Hofer and Pucci-Serrin and Tian, the extension
Li, Fengying, Li, Bingyu, Zhang, Shiqing
openaire +2 more sources