Results 31 to 40 of about 23,725 (167)
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 $c_1$, $x= ^{-1}(c_1)$ 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
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A concave-convex problem with a variable operator [PDF]
, 2017 We study the following elliptic problem $-A(u) = \lambda u^q$ with Dirichlet boundary conditions, where $A(u) (x) = \Delta u (x) \chi_{D_1} (x)+ \Delta_p u(x) \chi_{D_2}(x)$ is the Laplacian in one part of the domain, $D_1$, and the $p-$Laplacian (with ...
Molino, Alexis, Rossi, Julio D.
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A critical elliptic equation with a logarithmic type perturbation
Electronic Journal of Qualitative Theory of Differential EquationsIn this note, we consider a critical elliptic equation perturbed by a logarithmic type subcritical term in $\mathbb{R}^4$, and investigate how the logarithmic term affects the existence of weak solutions to such a problem. Since the logarithmic term does
Haixia Li, Yuzhu Han
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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
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Existence results for a superlinear singular equation of Caffarelli-Kohn-Nirenberg type [PDF]
, 2003 In this paper, using Mountain Pass Lemma and Linking Argument, we prove the existence of nontrivial weak solutions for the Dirichlet problem for the superlinear equation of Caffarelli-Kohn-Nirenberg type in the case where the parameter $\lambda\in (0 ...
Xuan, Benjin
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A p-Laplacian supercritical Neumann problem
, 2016 For $p>2$, we consider the quasilinear equation $-\Delta_p u+|u|^{p-2}u=g(u)$ in the unit ball $B$ of $\mathbb R^N$, with homogeneous Neumann boundary conditions.
Colasuonno, Francesca, Noris, Benedetta
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Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We investigate a class of critical stationary Kirchhoff fractional $p$-Laplacian problems in presence of a Hardy potential. By using a suitable version of the symmetric mountain-pass lemma due to Kajikiya, we obtain the existence of a sequence of ...
Vincenzo Ambrosio +2 more
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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
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Dirichlet Boundary Value Problems for Second Order $p$-Laplacian Difference Equations [PDF]
, 2010 In this paper, the solutions to second order Dirichlet boundary value problems of $p$-Laplacian difference equations are investigated. By using critical point theory, existence and multiplicity results are obtained.
Liu, Zhongzhi +2 more
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Multiple Solutions for a Semilinear Dirichlet Problem [PDF]
, 1994 The authors prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues.
Castro, Alfonso, Cossio, Jorge
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