Minimax principles for critical-point theory in applications to quasilinear boundary-value problems
Electronic Journal of Differential Equations, 2000 Using the variational method developed by the same author in [7], we establish the existence of solutions to the equation $-Delta_p u = f(x,u)$ with Dirichlet boundary conditions.
A. R. El Amrouss, M. Moussaoui
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Infinitely many positive solutions for p-Laplacian equations with singular and critical growth terms
Boundary Value ProblemsIn this paper, we study the existence of multiple solutions for the following nonlinear elliptic problem of p-Laplacian type involving a singularity and a critical Sobolev exponent { − Δ p u = u p ∗ − 1 + λ | u | γ − 1 u , in Ω , u = 0 , on ∂ Ω ...
Chen-Xi Wang, Hong-Min Suo
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AxiomsNonlinear analysis has widespread and significant applications in many areas at the core of many branches of pure and applied mathematics and modern science, including nonlinear ordinary and partial differential equations, critical point theory ...
Wei-Shih Du
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Existence of three solutions for higher order BVP with parameters via Morse theory
Electronic Journal of Differential Equations, 2016 We prove the existence of at least three solutions to a general Lidstone problem using the Morse Theory.
Mariusz Jurkiewicz, Bogdan Przeradzki
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Unified Functional-Holographic Theory of the QCD Critical End Point [PDF]
Sameer Ahmad Mir +3 more
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Multiple solutions of nonlinear fractional elliptic equations via Morse theory
Electronic Journal of Differential Equations, 2017 This article concerns the existence and multiplicity of weak solutions of the nonlinear fractional elliptic problem. We extend some well known results of semilinear Laplacian equations to the nonlocal fractional setting. Using the variational methods
Wei Qi, Lin Zhao, Xingjie Yan
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A Monte Carlo test of the Fisher–Nakanishi–Scaling theory for the capillary condensation critical point [PDF]
, 2001 O. Dillmann +3 more
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Rotationally invariant periodic solutions of semilinear wave equations
Abstract and Applied Analysis, 1998 Martin Schechter
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Existence of multiple solutions for quasilinear diagonal elliptic systems
Electronic Journal of Differential Equations, 1999 Nonsmooth-critical-point theory is applied in proving multiplicity results for the quasilinear symmetric elliptic system $$ -sum_{i,j=1}^{n}D_j(a^{k}_{ij}(x,u)D_iu_k)+ {1over 2}sum_{i,j=1}^{n}sum_{h=1}^N D_{s_k}a^{h}_{ij}(x,u)D_iu_hD_ju_h=g_k(x,u ...
Marco Squassina
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Quantitative deformation theorems and critical point theory [PDF]
, 1999 Jean-Noël Corvellec
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