Results 21 to 30 of about 469,372 (283)
Two Applications of a Three Critical Points Theorem
Journal of Differential Equations, 1996 Using variational methods, the authors prove the existence of two nontrivial solutions for an asymptotically linear beam equation and for a noncooperative superquadratic elliptic system. The solutions are obtained via two applications of the linking theorem generalized to the strongly indefinite case via a Galerkin procedure.
LUPO, DANIELA ELISABETTA +1 more
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Boundary Value Problems, 2020 In this paper, we consider the following nonhomogeneous fractional Schrödinger–Poisson equations: { ( − Δ ) s u + V ( x ) u + ϕ u = f ( x , u ) + g ( x ) in R 3 , ( − Δ ) t ϕ = u 2 in R 3 , $$ \textstyle\begin{cases} (-\Delta )^{s}u+V(x)u+\phi u=f(x,u)+
Ruiting Jiang, Chengbo Zhai
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Multiplicity of Homoclinic Solutions for Fractional Hamiltonian Systems with Subquadratic Potential
Entropy, 2017 In this paper, we study the existence of homoclinic solutions for the fractional Hamiltonian systems with left and right Liouville–Weyl derivatives. We establish some new results concerning the existence and multiplicity of homoclinic solutions for the ...
Neamat Nyamoradi +3 more
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Existence and multiplicity results for fractional p(x)-Laplacian Dirichlet problem
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we study a class of fractional p(x)-Laplacian Dirichlet problems in a bounded domain with Lipschitz boundary. Using variational methods, we prove in different situations the existence and multiplicity of solutions.
Chakrone O. +3 more
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2-SYMMETRIC CRITICAL POINT THEOREMS FOR NON-DIFFERENTIABLE FUNCTIONS [PDF]
Glasgow Mathematical Journal, 2008 AbstractIn this paper, some min–max theorems for even andC1functionals established by Ghoussoub are extended to the case of functionals that are the sum of a locally Lipschitz continuous, even term and a convex, proper, lower semi-continuous, even function.
Candito, Pasquale +2 more
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Critical point theorems for indefinite functionals
Inventiones Mathematicae, 1979 A variational principle of a minimax nature is developed and used to prove the existence of critical points for certain variational problems which are indefinite. The proofs are carried out directly in an infinite dimensional Hilbert space. Special cases of these problems previously had been tractable only by an elaborate finite dimensional ...
BENCI, VIERI, RABINOWITZ P.
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Bochner-Hartogs type extension theorem for roots and logarithms of holomorphic line bundles [PDF]
, 2011 We prove an extension theorem for roots and logarithms of holomorphic line bundles across strictly pseudoconcave boundaries: they extend in all cases except one, when dimension and Morse index of a critical point is two.
Ivashkovich, Sergey
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Sign-changing critical points from linking type theorems [PDF]
Transactions of the American Mathematical Society, 2006 Summary: The relationships between sign-changing critical point theorems and the linking type theorems of M. Schechter and the saddle point theorems of P. Rabinowitz are established. The abstract results are applied to the study of the existence of sign-changing solutions for the nonlinear Schrödinger equation \( -\Delta u +V(x)u = f(x, u), u \in H^1 ...
Schechter, M., Zou, W.
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Equidistribution of rational functions having a superattracting periodic point towards the activity current and the bifurcation current [PDF]
, 2003 We establish an approximation of the activity current $T_c$ in the parameter space of a holomorphic family $f$ of rational functions having a marked critical point $c$ by parameters for which $c$ is periodic under $f$, i.e., is a superattracting periodic
Okuyama, Yûsuke
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Critically separable rational maps in families [PDF]
, 2012 Given a number field K, we consider families of critically separable rational maps of degree d over K possessing a certain fixed-point and multiplier structure.
Bombieri +6 more
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