Results 91 to 100 of about 419,462 (262)
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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Molecular Oncology, EarlyView.Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
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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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Molecular Oncology, EarlyView.The proposed mechanism of action for the CDK12/13 inhibitor and cyclin K degrader, CT7439. CDK12/13 inhibition interrupts transcription elongation, leading to increased DNA damage that results in cell death. This agent is a potentially novel treatment option for patients with colorectal cancer. Created in BioRender. Cyclin‐dependent kinase (CDK) 12 and
Wylie K. Watlington +10 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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Critical point theory for perturbations of symmetric functionals
Commentarii Mathematici Helvetici, 1996 The author gives conditions on the existence of infinitely many critical points for functionals which are not invariant relative to transformation groups \(G\). On the basis of the notions of absolute and relative versions of the \(G\)-capacity, a general critical point theorem for perturbations of symmetric functions on a Banach manifold is proved ...
openaire +1 more source
Molecular Oncology, EarlyView.Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq +8 more
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Rotationally invariant periodic solutions of semilinear wave equations
Abstract and Applied Analysis, 1998 Martin Schechter
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