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Non-autonomous weighted elliptic equations with double exponential growth
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 We consider the existence of solutions of the following weighted problem: {L:=-div(ρ(x)|∇u|N-2∇u)+ξ(x)|u|N-2u=f(x,u)inBu>0inBu=0on∂B,\left\{ {\matrix{{L: = - div\left( {\rho \left( x \right){{\left| {\nabla u} \right|}^{N - 2}}\nabla u} \right) + \xi ...
Baraket Sami, Jaidane Rached
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Journal of Differential Equations, 1985 In this paper we establish a new version of the well-known theorem of Ambrosetti and Rabinowitz on the existence of critical points for functionals \(I: X\to {\mathbb{R}}\) of class \(C^ 1\) on a real Banach space X. As usual, a compactness condition of Palais-Smale type is assumed throughout, including a version particularly suited to the periodic ...
PUCCI, Patrizia, J. SERRIN
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The intrinsic mountain pass [PDF]
Pacific Journal of Mathematics, 1995 The Ambrosetti-Rabinowitz mountain pass lemma and Rabinowitz saddle point theorems are among the most fruitful tools in critical point theory. The present paper analyzes an abstract version of these results due to Brézis-Nirenberg, and provides generalized versions which allow new existence conditions for some semilinear elliptic boundary value ...
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Numerical Mountain Pass and its Applications [PDF]
PAMM, 2006 AbstractThe mountain pass theorem is an important tool in the calculus of variations and in finding solutions to nonlinear PDEs in general. The mountain pass structure can be exploited numerically, as well. We explain the main ideas on an example of buckling of a cylindrical shell.
Horák, J., Lord, G.J., Peletier, M.A.
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Facultative Altitudinal Movements by Mountain White-Crowned Sparrows (Zonotrichia Leucophrys Oriantha) in the Sierra Nevada [PDF]
, 2004 Mountain White-crowned Sparrows (Zonotrichia leucophrys oriantha) winter in Mexico and often arrive in the vicinity of their breeding grounds in the Sierra Nevada well before nesting is possible.
Breuner, Creagh W. +3 more
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Multiple normalized solutions for quasi-linear Schr\"odinger equations [PDF]
, 2015 In this paper we prove the existence of two solutions having a prescribed $L^2$-norm for a quasi-linear Schr\"odinger equation. One of these solutions is a mountain pass solution relative to a constraint and the other one a minimum either local or global.
Jeanjean, Louis +2 more
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Relations between the mountain pass theorem and local minima
Advances in Nonlinear Analysis, 2012 Existence results of two critical points for functionals unbounded from below are established after pointing out a characterization of the mountain pass geometry. Applications to elliptic Dirichlet problems are then presented.
Bonanno Gabriele
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Existence of solution to a critical equation with variable exponent [PDF]
, 2012 In this paper we study the existence problem for the $p(x)-$Laplacian operator with a nonlinear critical source. We find a local condition on the exponents ensuring the existence of a nontrivial solution that shows that the Pohozaev obstruction does not ...
Bonder, Julián Fernández +2 more
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The intrinsic mountain pass principle [PDF]
Topological Methods in Nonlinear Analysis, 1998 The celebrated mountain pass principle of Ambrosetti and Rabinowitz is one of the most important tools in nonlinear analysis for proving the existence of critical points of \(C^1\) real functionals. The authors establish in this paper a general mountain pass principle, dropping any smoothness or even continuity assumptions on the functional.
Ribarska, Nadezhda +2 more
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Аж богдын нурууны физик газарзүйн тодорхойлолт
Proceedings of the Mongolian Academy of Sciences, 2017 Mountain Aj Bogd is one of branch mountains the mount systems Mongol Altai, which is located at the middle part of Mongol Altai mountain. Mountain Aj Bogd is similar with surface typology, deposits, form relief, erosion and accumulation process, mountain
Авирмэд Э +1 more
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